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

The correct answer is: Hence, the product is: .


    ANSWER:
    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.
    Step 1 of 2:
    The given expression isleft 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:
    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
    equals 4 x squared minus 64 y squared
    Hence, the product is: equals 4 x squared minus 64 y squared
    Note:
    Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.

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