Question

Factorize: p∧2 + 16p + 64

Answer 1

Answer:

2−16p+82

Check the middle term by multiplying 2ab

and compare this result with the middle term in the original expression.

2ab=2⋅p⋅−8

Simplify.

2ab=−16p

Factor using the perfect square trinomial rule a2−2ab+b2=(a−b)2

, where a=p and b=−8

.

(p−8)2