factor each of the following using the GCF and check by using the distributive property:
14)10xy -15x^2y^2
15)21r^3s^2 - 14r^2s
16)2x^2 + 8x + 4
14) The GCF of 10xy and 15x^2y^2 is 5xy.
10xy - 15x^2y^2
= 5xy(2 - 3xy)
= 5xy(2 - 3xy)
15) The GCF of 21r^3s^2 and 14r^2s is 7r^2s.
21r^3s^2 - 14r^2s
= 7r^2s(3r - 2)
= 7r^2s(3r - 2)
16) The GCF of 2x^2, 8x, and 4 is 2.
2x^2 + 8x + 4
= 2(x^2 + 4x + 2)
= 2(x^2 + 4x + 2)