Maths-
General
Easy

Question

Write the factored form of the given expression.
36 x squared plus 48 x plus 16

hintHint:

Take out the greatest common factor of elements then divide the mid term as a product of 1st and 3rd elements and take common elements out.

The correct answer is: 4(3x + 2)2 is the factorized form of given expression.


    Ans:- 4 (3x + 2)2  is the factorized form of given expression.
    Given, 36 x squared plus 48 x plus 16
    Taking out 4 as common factor we get  4 open parentheses 9 x squared plus 12 x plus 4 close parentheses
    Write  9 x squared text  as  end text left parenthesis 3 x right parenthesis squared comma 4 text  as  end text left parenthesis 2 right parenthesis squared text  and  end text 12 x text  as  end text 2 left parenthesis 3 x right parenthesis left parenthesis 2 right parenthesis text  then we get  end text 4 open parentheses left parenthesis 3 x right parenthesis squared plus 2 left parenthesis 3 x right parenthesis left parenthesis 2 right parenthesis plus 2 squared close parentheses
    Applying a squared plus 2 a b plus b squared equals left parenthesis a plus b right parenthesis squared text  formula here  end text a equals 3 x space semicolon space b equals 2
    We get  = 36 x squared plus 48 x plus 16 equals 4 left parenthesis 3 x plus 2 right parenthesis squared.
    ∴  4 (3x + 2)2 is the factorized form of the given expression.

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