Maths-
General
Easy

Question

Factor the given expression completely.
2 x cubed plus 32 x squared plus 128 x

hintHint:

using the formula a squared plus 2 a b plus b squared equals left parenthesis a plus b right parenthesis squared factorize the given expression

The correct answer is: 2x(x+8)2 is the factorized form of the given expression.


    Ans:- 2 x left parenthesis x plus 8 right parenthesis squared is the factorized form of the given expression.
    Given, 2 x cubed plus 32 x squared plus 128 x
    Taking common factor 2x then we get 2 x open parentheses x squared plus 16 x plus 64 close parentheses
    Write 16 x text  as  end text 2 left parenthesis x right parenthesis 8 text  and  end text 64 text  as  end text left parenthesis 8 right parenthesis squared text  and we get  end text 2 x open square brackets left parenthesis x right parenthesis squared plus 2 left parenthesis x right parenthesis 8 plus 8 squared close square brackets
    Applying a squared plus 2 a b plus b squared equals left parenthesis a plus b right parenthesis squared
    Here a = x ; b = 8
    We get , 2 x cubed plus 32 x squared plus 128 x equals 2 x left parenthesis x plus 8 right parenthesis squared
    2 x left parenthesis x plus 8 right parenthesis squared is the factorized form of the given expression.

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