Question

(4x^2 + 12x + 9) / (2x + 3)​

Answer 1

Answer:

2x+3

Step-by-step explanation:

$\frac{4x^{2} +12x+9}{2x+3}$

= $\frac{((2x)^{2} + 3^{2}+2(2x)(3) )}{2x+3}$

= $\frac{(2x+3)^{2} }{2x+3}$ (Using the polynomial identity (a+b)^2 = a^2 + b^2 + 2ab)

= $\frac{(2x+3)(2x+3)}{2x+3}$

Thus, (2x+3) cancels.

= 2x+3

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