Question

PLEASE HELP ASAP!!(SHOW ALL STEPS)

Determine the factors
x2y + 3x2 + 3y + 9

Answer 1

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

x^2y + 3x^2 + 3y + 9

grouping

x^2y + 3x^2 + 3y + 9

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

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

Answer 2

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

Explanation:

x^2y + 3x^2 + 3y + 9

I will factor by grouping

Taking the first two terms I can factor out x^2

Taking the last two terms I can factor out 3

x^2y + 3x^2 + 3y + 9

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

Now I can factor out (y+3)

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

Since(x^2+3) and (y+3) cannot be factored , this is completely factored