Factor each of the following using the GCF and check by using the distributive property:

7)4x^2-4y
8)p+prt
9)10x - 15x^3

7) GCF = 4. Factored form: 4(x^2 - y). Distributive property: 4(x^2) - 4(y) = 4x^2 - 4y

8) GCF = p. Factored form: p(1 + rt). Distributive property: p(1) + p(rt) = p + prt

9) GCF = 5x. Factored form: 5x(2 - 3x^2). Distributive property: 5x(2) - 5x(3x^2) = 10x - 15x^3