Question

Completely factor the expression
5x²y + 30xy² + 45yᶾ

Answer 1

do the prime factorization of all 3 terms:
\[\rightarrow (5 \times x \times x \times y) + (2 \times 3 \times 5 \times x \times y \times y) + (5 \times 3 \times 3 \times y \times y \times y)\]
You'll notice that all terms have an x , a y, and a 5 as a factor. Pull that out, and you get:
\[5xy(x+6y+9y^2)\]