Solve p(7p - 2q) + 4p(7p - 2q) | 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

$$p(7p-2q)+4p(7p-2q)$$

Evaluate

$5p\left(7p-2q\right)$

Solution Steps

Use the distributive property to multiply $p$ by $7p-2q$.

$$7p^{2}-2pq+4p\left(7p-2q\right)$$

Use the distributive property to multiply $4p$ by $7p-2q$.

$$7p^{2}-2pq+28p^{2}-8pq$$

Combine $7p^{2}$ and $28p^{2}$ to get $35p^{2}$.

$$35p^{2}-2pq-8pq$$

Combine $-2pq$ and $-8pq$ to get $-10pq$.

$$35p^{2}-10pq$$

Expand

$35p^{2}-10pq$

Solution Steps

Use the distributive property to multiply $p$ by $7p-2q$.

$$7p^{2}-2pq+4p\left(7p-2q\right)$$

Use the distributive property to multiply $4p$ by $7p-2q$.

$$7p^{2}-2pq+28p^{2}-8pq$$

Combine $7p^{2}$ and $28p^{2}$ to get $35p^{2}$.

$$35p^{2}-2pq-8pq$$

Combine $-2pq$ and $-8pq$ to get $-10pq$.

$$35p^{2}-10pq$$