Maths-
General
Easy

Question

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

hintHint:

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.

The correct answer is: (a + b)(a + b) 


     Step 1 of 2:
    The given expression is open parentheses x plus 3 y cubed close parentheses squared .
    Here, the value of a 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:

    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 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 end cell row cell equals x squared plus 6 x y cubed plus 9 y to the power of 6 end cell end table

    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
     

    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)

    Related Questions to study

    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
    General
    Maths-

    What number does C3 represent in the expansion C subscript 0 a to the power of 5 plus C subscript 1 a to the power of 4 b plus C subscript 2 a squared b squared plus C subscript 3 a b cubed plus C subscript 4 b to the power of 4 ? Explain.

    What number does C3 represent in the expansion C subscript 0 a to the power of 5 plus C subscript 1 a to the power of 4 b plus C subscript 2 a squared b squared plus C subscript 3 a b cubed plus C subscript 4 b to the power of 4 ? Explain.

    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 .Explain Dakota’s error and then correct the answer.

    You can use Both the Pascal’s triangle and binomial expansion to find the value of (x + y)n .

    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 .Explain Dakota’s error and then correct the answer.

    Maths-General

    You can use Both the Pascal’s triangle and binomial expansion to find the value of (x + y)n .

    General
    Maths-

    What number does C3 represent in the expansion C subscript 0 a to the power of 5 plus C subscript 1 a to the power of 4 b plus C subscript 2 a squared b squared plus C subscript 3 a b cubed plus C subscript 4 b to the power of 4 ? Explain.

    The value n C subscript r equals fraction numerator n factorial over denominator r factorial left parenthesis n minus r right parenthesis factorial end fraction is called the combination permutation.

    What number does C3 represent in the expansion C subscript 0 a to the power of 5 plus C subscript 1 a to the power of 4 b plus C subscript 2 a squared b squared plus C subscript 3 a b cubed plus C subscript 4 b to the power of 4 ? Explain.

    Maths-General

    The value n C subscript r equals fraction numerator n factorial over denominator r factorial left parenthesis n minus r right parenthesis factorial end fraction is called the combination permutation.

    parallel
    General
    Maths-

    Explain how to use a polynomial identity to factor .8 x to the power of 6 minus 27 y cubed

    Explain how to use a polynomial identity to factor .8 x to the power of 6 minus 27 y cubed

    Maths-General
    General
    Maths-

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

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

    Maths-General
    General
    Maths-

    How are Pascal’s triangle and binomial expansion such as left parenthesis a plus b right parenthesis to the power of 5 related?

    How are Pascal’s triangle and binomial expansion such as left parenthesis a plus b right parenthesis to the power of 5 related?

    Maths-General
    parallel
    General
    Maths-

    Explain how to use a polynomial identity to factor 8 x to the power of 6 minus 27 y cubed .

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

    Explain how to use a polynomial identity to factor 8 x to the power of 6 minus 27 y cubed .

    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 the polynomials or simplify the expressions :
    10 cubed plus 5 cubed

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

    Maths-General
    General
    Maths-

    Explain why the middle term left parenthesis x plus 5 right parenthesis squared is 10x.

    Explain why the middle term left parenthesis x plus 5 right parenthesis squared is 10x.

    Maths-General
    parallel
    General
    Maths-

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

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

    Maths-General
    General
    Maths-

    How can you use polynomial identities to rewrite expressions efficiently ?

    How can you use polynomial identities to rewrite expressions efficiently ?

    Maths-General
    General
    Maths-

    Use binomial theorem to expandleft parenthesis 2 c plus d right parenthesis to the power of 6

    Use binomial theorem to expandleft parenthesis 2 c plus d right parenthesis to the power of 6

    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.