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Question

Factorise the following:
$$a^2-5ab-36b^2$$


A
(a2b)(a+9b)
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B
(a+4b)(a9b)
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C
(a+5b)(a2b)
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D
(a4b)(a+5b)
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Solution

The correct option is B $$(a + 4b)(a - 9b)$$
   $$a^2-5ab-36b^2$$
$$=a^2-9ab+4ab-36b^2$$
$$=a(a-9b)+4b(a-9b)$$
$$=(a-9b)(a+4b)$$

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