Solve f 2p(2p - 3q) + 3q(2p - 3q) ( ( | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$2 p ( 2 p - 3 q ) + 3 q ( 2 p - 3 q )$$

Evaluate

$4p^{2}-9q^{2}$

Solution Steps

Use the distributive property to multiply $2p$ by $2p-3q$.

$$4p^{2}-6pq+3q\left(2p-3q\right)$$

Use the distributive property to multiply $3q$ by $2p-3q$.

$$4p^{2}-6pq+6qp-9q^{2}$$

Combine $-6pq$ and $6qp$ to get $0$.

$$4p^{2}-9q^{2}$$

Expand

$4p^{2}-9q^{2}$

Solution Steps

Use the distributive property to multiply $2p$ by $2p-3q$.

$$4p^{2}-6pq+3q\left(2p-3q\right)$$

Use the distributive property to multiply $3q$ by $2p-3q$.

$$4p^{2}-6pq+6qp-9q^{2}$$

Combine $-6pq$ and $6qp$ to get $0$.

$$4p^{2}-9q^{2}$$