Maths-
General
Easy

Question

Use polynomial identities to factor the polynomials or simplify the expressions : 8 cubed minus 2 cubed

hintHint:

open parentheses a cubed minus b cubed close parentheses equals left parenthesis a minus b right parenthesis open parentheses a squared plus a b plus b squared close parentheses, here a and b can be real values, variables or multiples of both. We are asked to use polynomial identities to factorize the given expression

The correct answer is: 504


    Step 1 of 2:
    The given expression is 8 cubed minus 2 cubed . It is of the form open parentheses a cubed minus b cubed close parentheses where a equals 8 space straight & b equals 2.
    Step 2 of 2:
    Use the polynomial identity to find the answer of the expression;

    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 8 cubed minus 2 cubed equals left parenthesis 8 minus 2 right parenthesis open parentheses 8 squared plus left parenthesis 8 right parenthesis left parenthesis 2 right parenthesis plus 2 squared close parentheses end cell row cell equals 6 left parenthesis 64 plus 16 plus 4 right parenthesis end cell row cell equals 6 left parenthesis 84 right parenthesis end cell row cell equals 504 end cell end table
    Thus, the answer is 8 cubed minus 2 cubed equals 504

    Polynomial identities are equations that are true for all possible values of the variable. We can perform polynomial multiplication by applying the distributive property to the multiplication of polynomials.

    Related Questions to study

    General
    Maths-

    Use polynomial identities to factor the polynomials or simplify the expressions :
    10 cubed minus 3 cubed

    Polynomial identities are equations that are true for all possible values of the variable. We can perform polynomial multiplication by applying the distributive property to the multiplication of polynomials.

    Use polynomial identities to factor the polynomials or simplify the expressions :
    10 cubed minus 3 cubed

    Maths-General

    Polynomial identities are equations that are true for all possible values of the variable. We can perform polynomial multiplication by applying the distributive property to the multiplication of polynomials.

    General
    Maths-

    Use polynomial identities to factor the polynomials or simplify the expressions :
    10 cubed plus 5 cubed

    The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants.

    Use polynomial identities to factor the polynomials or simplify the expressions :
    10 cubed plus 5 cubed

    Maths-General

    The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants.

    General
    Maths-

    Use polynomial identities to factor the polynomials or simplify the expressions :
    9 cubed plus 6 cubed

    Polynomial identities are used to simplify or to find the product of expressions. It reduces space and time during solving.

    Use polynomial identities to factor the polynomials or simplify the expressions :
    9 cubed plus 6 cubed

    Maths-General

    Polynomial identities are used to simplify or to find the product of expressions. It reduces space and time during solving.

    parallel
    General
    Maths-

    Use polynomial identities to factor the polynomials or simplify the expressions :
    open parentheses 1 over 16 x to the power of 6 minus 25 y to the power of 4 close parentheses

    We can use multiple identities to factorize an expression. Our aim is to reduce the expression into the lowest form.

    Use polynomial identities to factor the polynomials or simplify the expressions :
    open parentheses 1 over 16 x to the power of 6 minus 25 y to the power of 4 close parentheses

    Maths-General

    We can use multiple identities to factorize an expression. Our aim is to reduce the expression into the lowest form.

    General
    Maths-

    Use polynomial identities to factor the polynomials or simplify the expressions :
    64 x cubed minus 125 y to the power of 6

    Polynomial identities are equations that are true for all possible values of the variable. We can perform polynomial multiplication by applying the distributive property to the multiplication of polynomials.

    Use polynomial identities to factor the polynomials or simplify the expressions :
    64 x cubed minus 125 y to the power of 6

    Maths-General

    Polynomial identities are equations that are true for all possible values of the variable. We can perform polynomial multiplication by applying the distributive property to the multiplication of polynomials.

    General
    Maths-

    Use polynomial identities to factor the polynomials or simplify the expressions :
    216 plus 27 y to the power of 12

    The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants.

    Use polynomial identities to factor the polynomials or simplify the expressions :
    216 plus 27 y to the power of 12

    Maths-General

    The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants.

    parallel
    General
    Maths-

    Use polynomial identities to factor the polynomials or simplify the expressions :
    4 x squared minus y to the power of 6

    Polynomial identities are used to simplify or to find the product of expressions. It reduces space and time during solving.

    Use polynomial identities to factor the polynomials or simplify the expressions :
    4 x squared minus y to the power of 6

    Maths-General

    Polynomial identities are used to simplify or to find the product of expressions. It reduces space and time during solving.

    General
    Maths-

    Use polynomial identities to factor the polynomials or simplify the expressions : x cubed minus 27 y cubed

    The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants

    Use polynomial identities to factor the polynomials or simplify the expressions : x cubed minus 27 y cubed

    Maths-General

    The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants

    General
    Maths-

    Use polynomial identities to factor the polynomials or simplify the expressions : 8 x cubed plus y to the power of 9

    Polynomial identities are equations that are true for all possible values of the variable. We can perform polynomial multiplication by applying the distributive property to the multiplication of polynomials.

    Use polynomial identities to factor the polynomials or simplify the expressions : 8 x cubed plus y to the power of 9

    Maths-General

    Polynomial identities are equations that are true for all possible values of the variable. We can perform polynomial multiplication by applying the distributive property to the multiplication of polynomials.

    parallel
    General
    Maths-

    Use polynomial identities to factor the polynomials or simplify the expressions : x9 - 8

    Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions

    Use polynomial identities to factor the polynomials or simplify the expressions : x9 - 8

    Maths-General

    Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions

    General
    Maths-

    Use polynomial identities to factor the polynomials or simplify the expressions : x8 - 9

    The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants.

    Use polynomial identities to factor the polynomials or simplify the expressions : x8 - 9

    Maths-General

    The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants.

    General
    Maths-

    Use polynomial identities to multiply the expressions ? open parentheses 25 x squared minus 15 y squared close parentheses open parentheses 25 x squared plus 15 y squared close parentheses

    Polynomial identities are equations that are true for all possible values of the variable. We can perform polynomial multiplication by applying the distributive property to the multiplication of polynomials.

    Use polynomial identities to multiply the expressions ? open parentheses 25 x squared minus 15 y squared close parentheses open parentheses 25 x squared plus 15 y squared close parentheses

    Maths-General

    Polynomial identities are equations that are true for all possible values of the variable. We can perform polynomial multiplication by applying the distributive property to the multiplication of polynomials.

    parallel
    General
    Maths-

    Use polynomial identities to multiply the expressions ? open parentheses 3 x squared minus 4 x y close parentheses open parentheses 3 x squared plus 4 x y close parentheses

    The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants.

    Use polynomial identities to multiply the expressions ? open parentheses 3 x squared minus 4 x y close parentheses open parentheses 3 x squared plus 4 x y close parentheses

    Maths-General

    The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants.

    General
    Maths-

    Use polynomial identities to multiply the expressions ? (10 + 21)2

    Algebraic expression is an expression that is built by the combination of integer constants and variables.

    Use polynomial identities to multiply the expressions ? (10 + 21)2

    Maths-General

    Algebraic expression is an expression that is built by the combination of integer constants and variables.

    General
    Maths-

    Use polynomial identities to multiply the expressions ? (7 + 9)2

    Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.

    Use polynomial identities to multiply the expressions ? (7 + 9)2

    Maths-General

    Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.

    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.