Maths-
General
Easy

Question

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

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.

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

    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.