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AlekseyPX
2 years ago
7

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

Mathematics
2 answers:
nikklg [1K]2 years ago
6 0

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

larisa86 [58]2 years ago
5 0

Answer:

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

Explanation:

<u>Factorize 1</u>

64x² + 48x + 9

64x² + 24x +24x + 9

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

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

<u />

<u>Factorize 2</u>

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)

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