Question

Factor the expression 100w^2x^2-64y^2z^2

Answer 1

Notice  that this is the difference of 2 squares

a^2 - b^2 = (a + b)(a - b)

Here we have a^2 = 100w^2x^2 and b^2 = 64y^2z^2

so a = 10wx and b = 8yz   and the factors are

(10wx + 8yz)(10wx - 8yz)