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which factor do $64x^2 + 48x + 9$ and $64x^2 - 9$ have in common? $\\ci…

Question

which factor do $64x^2 + 48x + 9$ and $64x^2 - 9$ have in common?
$\circ$ $8x + 9$
$\circ$ $8x - 3$
$\circ$ $8x + 3$
$\circ$ $64x^2$

Explanation:

Step1: Factor first quadratic

$64x^2 + 48x + 9 = (8x+3)^2$

Step2: Factor second quadratic

$64x^2 - 9 = (8x+3)(8x-3)$

Step3: Identify common factor

Compare the factored forms.

Answer:

8x + 3