Question

1. what is the prime factorization of $15x^3y^2$?

$3 \cdot 5 \cdot x^2 \cdot y \cdot y$
$3 \cdot 5 \cdot x^2y^2$
$3 \cdot 5 \cdot x \cdot x \cdot x \cdot y \cdot y$
$15 \cdot x \cdot x \cdot x \cdot y \cdot y$

Explanation:

Step1: Factor the constant term

Prime factors of 15: $3 \times 5$

Step2: Factor the variable terms

$x^3 = x \cdot x \cdot x$, $y^2 = y \cdot y$

Step3: Combine all prime factors

$15x^3y^2 = 3 \cdot 5 \cdot x \cdot x \cdot x \cdot y \cdot y$

Answer:

3·5·x·x·x·y·y