Solve (z) (iv) (4p - 3q) - 5[(2p - q) + (p + q)] | 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

$$( 4 p - 3 q ) - 5 [ ( 2 p - q ) + ( p + q ) ]$$

Evaluate

$-11p-3q$

Solution Steps

Combine $2p$ and $p$ to get $3p$.

$$4p-3q-5\left(3p-q+q\right)$$

Combine $-q$ and $q$ to get $0$.

$$4p-3q-5\times 3p$$

Multiply $5$ and $3$ to get $15$.

$$4p-3q-15p$$

Combine $4p$ and $-15p$ to get $-11p$.

$$-11p-3q$$

Expand

$-11p-3q$

Solution Steps

Combine $2p$ and $p$ to get $3p$.

$$4p-3q-5\left(3p-q+q\right)$$

Combine $-q$ and $q$ to get $0$.

$$4p-3q-5\times 3p$$

Multiply $5$ and $3$ to get $15$.

$$4p-3q-15p$$

Combine $4p$ and $-15p$ to get $-11p$.

$$-11p-3q$$