Maths-
General
Easy

Question

Factor the given expression.
9 x squared minus 100

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 expression

The correct answer is: (3x - 10) (3x + 10) is the factorized form of the given expression.


    ANS :-  (3x-10)(3x+10) is the factorized form of the given expression.
    Given , 9 x squared minus 100
    Using square root and squaring on 9 and 100 . we get left parenthesis square root of 9 x right parenthesis squared minus left parenthesis square root of 100 right parenthesis squared
    using the formula a squared minus b squared equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis
    Here a equals square root of 9 x equals 3 x text  and  end text b equals square root of 100 equals 10
    Then 9 x squared minus 100 equals left parenthesis 3 x minus 10 right parenthesis left parenthesis 3 x plus 10 right parenthesis
    ∴ (3x - 10) (3x + 10) is the factorized form of the given expression.

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