Maths-
General
Easy

Question

4 x squared minus 9

hintHint:

using the formula  a squared minus b squared equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis factorize the given expressions.

The correct answer is: (2x + 3) (2x - 3)


    Ans :- (2x+3)(2x-3
    Given,4 x squared minus 9
    Write 4 x squared text  as  end text left parenthesis 2 x right parenthesis squared text  and  end text 9 text  as  end text left parenthesis 3 right parenthesis squared text  we get  end text open parentheses left parenthesis 2 x right parenthesis squared minus left parenthesis 3 right parenthesis squared close parentheses
    Applying a squared minus b squared equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis
    Here  a equals 2 x semicolon space b equals 3
    We get ,4 x squared minus 9 equals left parenthesis 2 x minus 3 right parenthesis left parenthesis 2 x plus 3 right parenthesis
    ∴ (2x-3)(2x+3) is the factorized form of the given expression.

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