Maths-
General
Easy

Question

Use polynomial identities to multiply each expression open parentheses x plus 3 y cubed close parentheses squared.

The correct answer is: Hence, the product is:


    ANSWER:
    Hint:
    left parenthesis a plus b right parenthesis squared equals a squared plus 2 a b plus b squared. Here a and b can be real values, variables or multiples of both.
    We are asked to use polynomial identities to multiply each expression.
    Step 1 of 2:
    The given expression is open parentheses x plus 3 y cubed close parentheses squared.
    Here, the value ofa equals x straight & b equals 3 y cubed .
    Step 2 of 2:
    Substitute the values in the expansion to get the product. Thus, we have:
    open parentheses x plus 3 y cubed close parentheses squared equals left parenthesis x right parenthesis squared plus 2 left parenthesis x right parenthesis open parentheses 3 y cubed close parentheses plus open parentheses 3 y cubed close parentheses squared
    equals x squared plus 6 x y cubed plus 9 y to the power of 6
    Hence, the product is:open parentheses x plus 3 y cubed close parentheses squared equals x squared plus 6 x y cubed plus 9 y to the power of 6
    Note:
    Any expression of the form can be expanded using the identity rather than using the conventional and time taking method of multiplying them, .

    Related Questions to study

    General
    Maths-

    Use the binomial theorem to expand the expressions:
    left parenthesis d minus 3 right parenthesis to the power of 4

    Use the binomial theorem to expand the expressions:
    left parenthesis d minus 3 right parenthesis to the power of 4

    Maths-General
    General
    Maths-

    Use the binomial theorem to expand the expressions:
    open parentheses x cubed plus y squared close parentheses to the power of 6

    Use the binomial theorem to expand the expressions:
    open parentheses x cubed plus y squared close parentheses to the power of 6

    Maths-General
    General
    Maths-

    Use the binomial theorem to expand the expressions:
    open parentheses 2 x plus 1 third close parentheses cubed

    Use the binomial theorem to expand the expressions:
    open parentheses 2 x plus 1 third close parentheses cubed

    Maths-General
    parallel
    General
    Maths-

    Use the binomial theorem to expand the expressions:
    open parentheses x squared plus 1 close parentheses to the power of 4

    Use the binomial theorem to expand the expressions:
    open parentheses x squared plus 1 close parentheses to the power of 4

    Maths-General
    General
    Maths-

    Use polynomial identities to multiply each expression .
    left parenthesis 2 x plus 8 y right parenthesis left parenthesis 2 x minus 8 y right parenthesis

    Use polynomial identities to multiply each expression .
    left parenthesis 2 x plus 8 y right parenthesis left parenthesis 2 x minus 8 y right parenthesis

    Maths-General
    General
    Maths-

    Use the binomial theorem to expand the expressions:
    left parenthesis b minus 0.5 right parenthesis to the power of 4

    Use the binomial theorem to expand the expressions:
    left parenthesis b minus 0.5 right parenthesis to the power of 4

    Maths-General
    parallel
    General
    Maths-

    Use the binomial theorem to expand the expressions:
    left parenthesis 2 a minus b right parenthesis to the power of 5

    Use the binomial theorem to expand the expressions:
    left parenthesis 2 a minus b right parenthesis to the power of 5

    Maths-General
    General
    Maths-

    Use the binomial theorem to expand the expressions:
    left parenthesis x plus 3 right parenthesis cubed

    Use the binomial theorem to expand the expressions:
    left parenthesis x plus 3 right parenthesis cubed

    Maths-General
    General
    Maths-

    Use polynomial identities to factor each polynomial : m to the power of 9 plus 27 n to the power of 6

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

    Use polynomial identities to factor each polynomial : m to the power of 9 plus 27 n to the power of 6

    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 factor each polynomial : open parentheses 8 x to the power of 6 minus y cubed 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 factor each polynomial : open parentheses 8 x to the power of 6 minus y cubed 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 factor each polynomial : open parentheses 36 a squared minus 4 b squared close parentheses

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

    Use polynomial identities to factor each polynomial : open parentheses 36 a squared minus 4 b 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 each expression open parentheses x plus 3 y cubed close parentheses squared

    Any expression of the form (a + b)2 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, (a + b)(a + b)

    Use polynomial identities to multiply each expression open parentheses x plus 3 y cubed close parentheses squared

    Maths-General

    Any expression of the form (a + b)2 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, (a + b)(a + b)

    parallel
    General
    Maths-

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

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

    Maths-General
    General
    Maths-

    Dakota said the third term of the expansions of left parenthesis 2 g plus 3 h right parenthesis to the power of 4 text  is  end text 36 g squared h squared is .Explain Dakota’s error and then correct the answer.

    Dakota said the third term of the expansions of left parenthesis 2 g plus 3 h right parenthesis to the power of 4 text  is  end text 36 g squared h squared is .Explain Dakota’s error and then correct the answer.

    Maths-General
    General
    Maths-

    Use polynomial identities to multiply each expression .left parenthesis 2 x plus 8 y right parenthesis left parenthesis 2 x minus 8 y right parenthesis

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

    Use polynomial identities to multiply each expression .left parenthesis 2 x plus 8 y right parenthesis left parenthesis 2 x minus 8 y right parenthesis

    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.