Answer:
1. x(x^2y^2 + xy + 1)
2. p(3pr^2 + 6r + 1)
Step-by-step explanation:
1.
x + x^2y + x^3y^2 =
First, try factoring out a common factor. x is a common factor.
= x(1 + xy + x^2y^2)
Now, write the trinomial in descending order of degree.
= x(x^2y^2 + xy + 1)
x^2y^2 is the square of xy.
1 is the square of 1.
2 * xy * 1 = 2xy. The middle term is just xy, so the trinomial is not factorable.
Answer: x(x^2y^2 + xy + 1)
2.
3p^2r^2 + 6pr + p =
Factor out the common factor, p.
= p(3pr^2 + 6r + 1)
