Maths-
General
Easy

Question

Use polynomial identities to factor each polynomial :
open parentheses 36 a squared minus 4 b squared close parentheses

The correct answer is: Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.


    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 factorize each expression.
    Step 1 of 2:
    The given expression is open parentheses 36 a squared minus 4 b squared close parentheses . It can be written as: left parenthesis 6 a right parenthesis squared minus left parenthesis 2 b right parenthesis squared . It is of the form open parentheses a squared minus b squared close parentheseswhere a equals 6 a straight & b equals 2 b .
    Step 2 of 2:
    Substitute the values in the expansion to get the factor form. Thus, we have:
    open parentheses 36 a squared minus 4 b squared close parentheses equals left parenthesis 6 a right parenthesis squared minus left parenthesis 2 b right parenthesis squared
    equals left parenthesis 6 a minus 2 b right parenthesis left parenthesis 6 a plus 2 b right parenthesis
    Hence, the factor is, open parentheses 36 a squared minus 4 b squared close parentheses equals left parenthesis 6 a minus 2 b right parenthesis left parenthesis 6 a plus 2 b right parenthesis .
    Note:
    Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.

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