Maths-
General
Easy

Question

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

hintHint:

left parenthesis x plus a right parenthesis squared equals x squared plus 2 a x plus a squared, where x and a can be real values, variables or multiples of both. We are asked to use polynomial identities to multiply the expression.

The correct answer is: (10 + 21)2 = 961


     Step 1 of 2:
    The given expression is left parenthesis 10 plus 21 right parenthesis squared . It is of the form left parenthesis a plus b right parenthesis squared where a equals 10 straight & b equals 21.
    Step 2 of 2:
    Use polynomial identities to find the product 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 left parenthesis 10 plus 21 right parenthesis squared equals 10 squared plus 2 left parenthesis 10 right parenthesis left parenthesis 21 right parenthesis plus 21 squared end cell row cell equals 100 plus 420 plus 441 end cell row cell equals 961 end cell end table
    Thus, the product is (10 + 21)2 = 961.

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

    Related Questions to study

    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.

    General
    Maths-

    Use polynomial identities to multiply the expressions ? 103 cross times97

    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 ? 103 cross times97

    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 ? 18 cross times22

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

    Use polynomial identities to multiply the expressions ? 18 cross times22

    Maths-General

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

    parallel
    General
    Maths-

    Use polynomial identities to multiply the expressions ? open parentheses 6 minus y cubed close parentheses squared

    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 6 minus y cubed close parentheses squared

    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 8 minus x squared close parentheses open parentheses 8 plus x squared close parentheses

    We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.

    Use polynomial identities to multiply the expressions ? open parentheses 8 minus x squared close parentheses open parentheses 8 plus x squared close parentheses

    Maths-General

    We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.

    General
    Maths-

    Use polynomial identities to multiply the expressions ? open parentheses x squared plus y to the power of 6 close parentheses squared

    We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.

    Use polynomial identities to multiply the expressions ? open parentheses x squared plus y to the power of 6 close parentheses squared

    Maths-General

    We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.

    parallel
    General
    Maths-

    Use polynomial identities to multiply the expressions ? open parentheses 4 x squared plus 6 y squared close parentheses open parentheses 4 x squared minus 6 y squared close parentheses

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

    Use polynomial identities to multiply the expressions ? open parentheses 4 x squared plus 6 y squared close parentheses open parentheses 4 x squared minus 6 y squared close parentheses

    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 multiply the expressions ? (2x - 5)(2x + 5)

    We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.

    Use polynomial identities to multiply the expressions ? (2x - 5)(2x + 5)

    Maths-General

    We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.

    General
    Maths-

    Use polynomial identities to multiply the expressions ? (3x - 7)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 ? (3x - 7)2

    Maths-General

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

    parallel
    General
    Maths-

    Use polynomial identities to multiply the expressions ? (x + 6)2

    We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.

    Use polynomial identities to multiply the expressions ? (x + 6)2

    Maths-General

    We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.

    General
    Maths-

    Use polynomial identities to multiply the expressions ? (x - 9)(x - 9)

    We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.

    Use polynomial identities to multiply the expressions ? (x - 9)(x - 9)

    Maths-General

    We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.

    General
    Maths-

    Prove the polynomial identity x to the power of 4 minus y to the power of 4 equals left parenthesis x minus y right parenthesis left parenthesis x plus y right parenthesis open parentheses x squared plus y squared close parentheses

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

    Prove the polynomial identity x to the power of 4 minus y to the power of 4 equals left parenthesis x minus y right parenthesis left parenthesis x plus y right parenthesis open parentheses x squared plus y squared close parentheses

    Maths-General

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

    parallel
    General
    Maths-

    How could you use polynomial identities to factor the expression x to the power of 6 minus y to the power of 6.

    We can use multiple identities to simplify or factorize a polynomial fraction

    How could you use polynomial identities to factor the expression x to the power of 6 minus y to the power of 6.

    Maths-General

    We can use multiple identities to simplify or factorize a polynomial fraction

    General
    Maths-

    How many terms will there be in the expansion of the expression left parenthesis x plus 3 right parenthesis to the power of n . Explain how you know

    For the expansion of the expression (x + y)n , we would have n+1 terms.

    How many terms will there be in the expansion of the expression left parenthesis x plus 3 right parenthesis to the power of n . Explain how you know

    Maths-General

    For the expansion of the expression (x + y)n , we would have n+1 terms.

    General
    Maths-

    Factor open parentheses x cubed minus 125 y to the power of 6 close parentheses in the form left parenthesis x minus a right parenthesis open parentheses x squared plus b x plus c close parentheses . Then find the value of a, b and c.

    We use polynomial identities to factorize and expand polynomials to reduce time and space.

    Factor open parentheses x cubed minus 125 y to the power of 6 close parentheses in the form left parenthesis x minus a right parenthesis open parentheses x squared plus b x plus c close parentheses . Then find the value of a, b and c.

    Maths-General

    We use polynomial identities to factorize and expand polynomials to reduce time and space.

    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.