67.
Factorise the following expression:
p2 + 6p - 16
p2 + 6p - 16 = p2 + 6p + 9 - 25 [∵ -16 = 9 - 25]
= [(p)2 + 2(p)(3) + (3)2] - (5)2
= [p + 3]2 - [5)2 [Using a2 + 2ab + b2 = (a + b)2]
= [p + 3] + 5][(p + 3) - 5]
[Using a2 - b2 = (a + b)(a - b)]
= (p + 8) (p - 2)
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