Maths-
General
Easy

Question

What is the factored form of 4 x cubed plus 24 x squared plus 36 x space ?

hintHint:

factorize the given expression by taking out common elements and also using the required formulas .

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


    Ans:- 4x(x+3)(x+3) is the factorized form of the given expression.
    Given, 4 x cubed plus 24 x squared plus 36 x
    Taking out common factor 4 we get  4 open parentheses x cubed plus 6 x squared plus 9 x close parentheses
    Taking out common element x we get  4 left parenthesis x right parenthesis open parentheses x squared plus 6 x plus 9 close parentheses
    Splitting out 6x into 3x+3x we get 4 left parenthesis x right parenthesis open parentheses x squared plus 3 x plus 3 x plus 9 close parentheses equals 4 left parenthesis x right parenthesis left parenthesis x left parenthesis x plus 3 right parenthesis plus 3 left parenthesis x plus 3 right parenthesis right parenthesis
    Taking out x+3 common out we get 4 x left parenthesis x plus 3 right parenthesis left parenthesis x plus 3 right parenthesis
    As we get 4 x cubed plus 24 x squared plus 36 x equals 4 x left parenthesis x plus 3 right parenthesis left parenthesis x plus 3 right parenthesis
    ∴ 4x (x + 3)(x + 3) is the factorized form of the given expression.

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