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

1)2a+2b
2)5x^2 + 5
3)18c-27d

1) 2a+2b = 2(a+b) [Checking using distributive property: 2(a+b) = 2a + 2b]

2) 5x^2 + 5 = 5(x^2 + 1) [Checking using distributive property: 5(x^2 + 1) = 5x^2 + 5]

3) 18c - 27d = 9(2c - 3d) [Checking using distributive property: 9(2c - 3d) = 18c - 27d]