Question

(ab+cd)2 - (ac-bd)2 factorize 2 is power

Answer 1

(ab + cd + ac - bd)(ab + cd - ac + bd)

Explanation:

(ab + cd)² - (ac - bd)² ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b)

Here a = ab + cd and b = ac - bd , then

= (ab + cd + ac - bd)(ab + cd - (ac - bd))

= (ab + cd + ac - bd)(ab + cd - ac + bd)