Factorize 4a2 - 12ab - C2 + 9b2

A.

4a(a - 3b) + (3b - c)2

B.

(2a + 3b - c)(2a + 3b + c)

C.

(2a - 3b + c)(2a - 3b - c)

D.

4a(a - 3b) + (3b + c)

View answer & explanation

Correct answer is C

4a2 - 12ab - C2 + 9b2

rearranges: (4a2 - 12ab + 9b2) - c2

(2a - 3b)(2a - 3b) - c2 = (2a - 3b)2 - c2

= (2a - 3b + c)(2a - 3b - c)

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