Maths-
General
Easy

Question

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

Hint:

left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis equals open parentheses a squared minus b squared close parentheses , where 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: 4x2 - 64y2


     Step 1 of 2:
    The given expression is left parenthesis 2 x plus 8 y right parenthesis left parenthesis 2 x minus 8 y right parenthesis .
    Here a=2x and b=8y.
    Step 2 of 2:
    Substitute the values in the expression left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis equals open parentheses a squared minus b squared close parentheses.
    Thus, we get:

    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 2 x plus 8 y right parenthesis left parenthesis 2 x minus 8 y right parenthesis equals left parenthesis 2 x right parenthesis squared minus left parenthesis 8 y right parenthesis squared end cell row cell equals 4 x squared minus 64 y squared end cell end table.
    Hence, the product is: 4x2 - 64y2

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

    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.