Maths-
General
Easy

Question

How can you use polynomial identities to multiply expressions ?
41 cross times 39

The correct answer is: Thus, the answer is: 1599


    ANSWER:
    Hint:
    left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis equals a squared minus b squared,where a and b can be real number, variables or multiples of them.
    We are asked to find on how you could use a polynomial identity to multiply the given expression.
    Step 1 of 2:
    The given expression is:41 cross times 39
    It can be written as: which is same as the expression 41 cross times 39.
    Step 2 of 2:
    Now, apply the polynomial identity,left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis equals a squared minus b squared onleft parenthesis 40 plus 1 right parenthesis left parenthesis 40 minus 1 right parenthesis to get the required answer:
    left parenthesis 40 plus 1 right parenthesis left parenthesis 40 minus 1 right parenthesis equals 40 squared minus 1 squared
    equals 1600 minus 1
    equals 1599
    Thus, the answer is: 1599
    Note:
    Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.

    Related Questions to study

    General
    Maths-

    Use polynomial identities to multiply the expressions;  open parentheses 3 x squared plus 5 y cubed close parentheses open parentheses 3 x squared minus 5 y cubed 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 3 x squared plus 5 y cubed close parentheses open parentheses 3 x squared minus 5 y cubed 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 ?
    left parenthesis 2 x minus 5 right parenthesis left parenthesis 2 x plus 5 right parenthesis

    Use polynomial identities to multiply the expressions ?
    left parenthesis 2 x minus 5 right parenthesis left parenthesis 2 x plus 5 right parenthesis

    Maths-General
    General
    Maths-

    Use polynomial identities to multiply the expressions ?
    left parenthesis 3 straight x minus 7 right parenthesis squared

    Use polynomial identities to multiply the expressions ?
    left parenthesis 3 straight x minus 7 right parenthesis squared

    Maths-General
    parallel
    General
    Maths-

    How can you use polynomial identities to multiply expressions ? 41 cross times39

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

    How can you use polynomial identities to multiply expressions ? 41 cross times39

    Maths-General

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

    General
    Maths-

    How can you use polynomial identities to multiply expressions ?
    open parentheses 2 x squared plus y cubed close parentheses squared

    Any expression of the form left parenthesis a plus b right parenthesis squared can be expanded using the identity left parenthesis a plus b right parenthesis squared equals a squared plus a b plus b squared rather than using the conventional and time taking method of multiplying them, left parenthesis a plus b right parenthesis left parenthesis a plus b right parenthesis.

    How can you use polynomial identities to multiply expressions ?
    open parentheses 2 x squared plus y cubed close parentheses squared

    Maths-General

    Any expression of the form left parenthesis a plus b right parenthesis squared can be expanded using the identity left parenthesis a plus b right parenthesis squared equals a squared plus a b plus b squared rather than using the conventional and time taking method of multiplying them, left parenthesis a plus b right parenthesis left parenthesis a plus b right parenthesis.

    General
    Maths-

    Prove the difference of cubes identity : a cubed minus b cubed equals left parenthesis a minus b right parenthesis open parentheses a squared plus a b plus b squared close parentheses

    To prove an equation to be equal, we have to prove either the RHS is equal to the LHS or vice versa. The side should be selected based on the simplification process.

    Prove the difference of cubes identity : a cubed minus b cubed equals left parenthesis a minus b right parenthesis open parentheses a squared plus a b plus b squared close parentheses

    Maths-General

    To prove an equation to be equal, we have to prove either the RHS is equal to the LHS or vice versa. The side should be selected based on the simplification process.

    parallel
    General
    Maths-

    Prove the sum of cubes identity : a cubed plus b cubed equals left parenthesis a plus b right parenthesis open parentheses a squared minus a b plus b squared close parentheses

    To prove an equation to be equal, we have to prove either the RHS is equal to the LHS or vice versa. The side should be selected based on the simplification process.

    Prove the sum of cubes identity : a cubed plus b cubed equals left parenthesis a plus b right parenthesis open parentheses a squared minus a b plus b squared close parentheses

    Maths-General

    To prove an equation to be equal, we have to prove either the RHS is equal to the LHS or vice versa. The side should be selected based on the simplification process.

    General
    Maths-

    How can you use polynomial identities to multiply expressions ?
    open parentheses 2 x squared plus y cubed close parentheses squared

    How can you use polynomial identities to multiply expressions ?
    open parentheses 2 x squared plus y cubed close parentheses squared

    Maths-General
    General
    Maths-

    Use polynomial identities to multiply the expressions ?
    left parenthesis x plus 6 right parenthesis squared

    Use polynomial identities to multiply the expressions ?
    left parenthesis x plus 6 right parenthesis squared

    Maths-General
    parallel
    General
    Maths-

    Use polynomial identities to multiply the expressions ?
    left parenthesis x minus 9 right parenthesis left parenthesis x minus 9 right parenthesis

    Use polynomial identities to multiply the expressions ?
    left parenthesis x minus 9 right parenthesis left parenthesis x minus 9 right parenthesis

    Maths-General
    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

    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
    General
    Maths-

    Prove the difference of cubes identity :
    a cubed minus b cubed equals left parenthesis a minus b right parenthesis open parentheses a squared plus a b plus b squared close parentheses

    Prove the difference of cubes identity :
    a cubed minus b cubed equals left parenthesis a minus b right parenthesis open parentheses a squared plus a b plus b squared close parentheses

    Maths-General
    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 .

    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
    General
    Maths-

    Prove the sum of cubes identity :
    a cubed plus b cubed equals left parenthesis a plus b right parenthesis open parentheses a squared minus a b plus b squared close parentheses

    Prove the sum of cubes identity :
    a cubed plus b cubed equals left parenthesis a plus b right parenthesis open parentheses a squared minus a b plus b squared close parentheses

    Maths-General
    General
    Maths-

    After diluting salt water, the concentration of salt in the water is given by the function f left parenthesis x right parenthesis equals fraction numerator 0.5 x over denominator x squared minus 1 end fraction , where x is the time in hours since the dilution.
    b. After how many hours will the concentration of salt in the water be  ?Round to the nearest hundredth.

    After diluting salt water, the concentration of salt in the water is given by the function f left parenthesis x right parenthesis equals fraction numerator 0.5 x over denominator x squared minus 1 end fraction , where x is the time in hours since the dilution.
    b. After how many hours will the concentration of salt in the water be  ?Round to the nearest hundredth.

    Maths-General
    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.