Question

Which factor do 64x2 + 48x + 9 and 64x2 – 9 have in common?

Answer 1

Answer:  Start with the second expression.  That factors easily into (8x-3)(8x+3).

Since 64x^2 + 48x + 9 has no negative signs, I'd bet that the common factor is (8x+3).  Divide  64x^2 + 48x + 9  by that to verify.

hope this helps <3

Answer 2

Answer:

They have the factor (8x +3) in common.

Explanation:

Factorize 1

64x² + 48x + 9

64x² + 24x +24x + 9

8x(8x +3) +3(8x +3)

(8x +3)(8x+3)

Factorize 2

64x² – 9

(8x)² – 3²

$\sf {Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)$

(8x-3)(8x+3)