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Factorize 4a2 - 12ab - C2 + 9b2

Mathematics
JAMB 1989
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)
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Correct Answer: Option C
Explanation
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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