Factorise:

Question:

Factorise:
36c2 − (5a + b)2

Solution:

We have:

$36 c^{2}-(5 a+b)^{2}=(6 c)^{2}-(5 a+b)^{2}$

$=\{(6 c)+(5 a+b)\}\{(6 c)-(5 a+b)\}$

$=(6 c+5 a+b)(6 c-5 a-b)$

$\therefore 36 c^{2}-(5 a+b)^{2}=(6 c+5 a+b)(6 c-5 a-b)$

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