Maths-
General
Easy

Question

Use polynomial identities to multiply the expressions; left parenthesis 12 plus 15 right parenthesis squared

hintHint:

Let a and b be any real number, variables or multiples of the both, then we have: left parenthesis a plus b right parenthesis squared equals a squared plus 2 a b plus b squared.
We are asked to use the polynomial identities to multiply the given expression.

The correct answer is: 729


     Step 1 of 2:
    The given expression is left parenthesis 12 plus 15 right parenthesis squared .
    Here, a = 12 &b = 15
    Use the identity left parenthesis a plus b right parenthesis squared equals a squared plus 2 a b plus b squared for the expression left parenthesis 12 plus 15 right parenthesis squared.
    Step 2 of 2:
    Now, substitute the value in the equation left parenthesis a plus b right parenthesis squared equals a squared plus 2 a b plus b squared to get the value of left parenthesis 12 plus 15 right parenthesis squared:

    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 12 plus 15 right parenthesis squared equals 12 squared plus 2 left parenthesis 12 right parenthesis left parenthesis 15 right parenthesis plus 15 squared end cell row cell equals 144 plus 360 plus 225 end cell row cell equals 729 end cell end table
    Hence, the answer is: 729 .

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

    Related Questions to study

    General
    Maths-

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

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

    Maths-General
    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
    parallel
    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
    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.

    parallel
    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.

    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
    parallel
    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
    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
    parallel
    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
    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
    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.