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Question

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which factor do $9x^2 + 30x + 25$ and $9x^2 - 25$ have in common?
$\circ$ $3x + 5$
$\circ$ $3x - 5$
$\circ$ $3x + 25$
$\circ$ $9x^2$

Explanation:

Step1: Factor first expression

$9x^2 + 30x + 25 = (3x + 5)^2$

Step2: Factor second expression

$9x^2 - 25 = (3x + 5)(3x - 5)$

Step3: Identify common factor

Common factor is $3x + 5$

Answer:

A. 3x + 5