Question

factor by grouping
p^2+3pa+5p+15a;
8(x^2)(y^3)+7x^2+32y^3+28

Answer 1

1) p^2+3pa+5p+15a
p^2+3ap+5p+15a
p(p+3a)+5p+15a
5(p+3a)+p(p+3a)
(5+p)(p+3a)
(p+5)(p+3a)
2) 8(x^2)(y^3)+7x^2+32y^3+28
x^(8y^3+7)+32y^3+28
4(8y^3+7)+x^2(8y^3+7)
(4+x^2)(8y^3+7)
(x^2+4)(8y^3+7)
(x^2+4)(7+8y^3)
(7+8y^3)(x^2+4)