Question 880671
2(a2)+2(−4b2)+2(8b)+2(−4)

Factor out the GCF of 2 from 2a2−8b2+16b−8.

2(a2−4b2+8b−4)

Since both terms are perfect square roots, find the values a=a and b=2(b−1).

2((a)2−(2(b−1))2)

The binomial can be factored using the difference of squares formula, because both terms are perfect squares. The difference of squares formula is a2−b2=(a−b)(a+b) where a=a and b=2(b−1).

2(a−2(b−1))(a+2(b−1))

Simplify inside each of the factors. 

ANSWER: 2(a+2−2b)(a+2b−2)