MCQ
Tick $(\checkmark)$ the correct answer of the following:
$(7a^2 - 63b^2) =\  ?$
  • A
    $(7a - 9b)(9a + 7b)$
  • B
    $(7a - 9b)(7a + 9b)$
  • C
    $9(a - 3b)(a + 3b)$
  • $7(a - 3b)(a + 3b)$

Answer

Correct option: D.
$7(a - 3b)(a + 3b)$
D.  $7(a - 3b)(a + 3b)$
Solution:
$7 a^2-63 b^2=7\left(a^2-9 b^2\right) $
$ =7\left\{(a)^2-(3 b)^2\right\}$
$ =7(a-3 b)(a+36)$

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