factorise this please please
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(a² - 5a)² - 36
= (a² - 5a)² - 6²
= (a² - 5a - 6)(a² - 5a + 6)
factorise (a² - 5a - 6) and (a² - 5a + 6) separately.
a² - 5a - 6 = a² - 6a + a - 6
= a(a - 6) + 1(a - 6)
= (a + 1)(a - 6)
similarly, a² - 5a + 6 = a² - 3a - 2a + 6
= a(a - 3) - 2(a - 3)
= (a - 2)(a - 3)
hence, (a² - 5a - 6)(a² - 5a + 6) = (a + 1)(a - 6)(a - 2)(a - 3)
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