1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

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Question

$$( 5 p ^ { 2 } q ^ { 3 } ) ( 2 p ^ { 2 } q ) ( 4 p q )$$

$40\left(pq\right)^{5}$

To multiply powers of the same base, add their exponents. Add $2$ and $2$ to get $4$.

$$5p^{4}q^{3}\times 2q\times 4pq$$

To multiply powers of the same base, add their exponents. Add $4$ and $1$ to get $5$.

$$5p^{5}q^{3}\times 2q\times 4q$$

To multiply powers of the same base, add their exponents. Add $3$ and $1$ to get $4$.

$$5p^{5}q^{4}\times 2\times 4q$$

To multiply powers of the same base, add their exponents. Add $4$ and $1$ to get $5$.

$$5p^{5}q^{5}\times 2\times 4$$

Multiply $5$ and $2$ to get $10$.

$$10p^{5}q^{5}\times 4$$

Multiply $10$ and $4$ to get $40$.

$$40p^{5}q^{5}$$

$200p^{4}q^{5}$