What is the completely factored form of 9x2 24x 16


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What is the completely factored form of 9x2 + 24x + 16? (3x + 8)(3x + 2) (3x + 4)(3x + 4) (9x + 8)(x + 2) (9x + 4)(x + 4)

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Answer:

(3x+4)(3x+4) or (3x+4)2

Step-by-step explanation:

To factorize 9x2+ 24x +16, we first identify two factors in such a way that their product and sum is 144 and 24 respectively.

The factors are: 12 and 12.

The equation becomes: 9x2+12x+12x+16

=3x(3x+4)+ 4(3x+4)

= (3x+4)(3x+4) or (3x+4)2


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