Question

Factor by grouping. Step by step appreciated

Answer 1

(x^2+4)(y+3)

Explanation:

x^2y+4y+3x^2+12

factor by grouping

=x^2y+4y + 3x^2+12

left. right

take common in left y and in right 3

=y(x^2+4) + 3(x^2+4)

now common term is (x^2+4)

=(x^2+4) (y+3) answer

Answer 2

(x^2+8) ( y+4)

Explanation:

x^2y + 8y+ 4x^2 +32

Splitting into two groups

x^2y + 8y+ 4x^2 +32

Factor y out of the first group and 4 out of the second group

y( x^2+8) + 4(x^2+8)

Factor out (x^2+8)

(x^2+8) ( y+4)