Solve 2(x - 3) - y(x - 3) | 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

$$2(x-3)-y(x-3)$$

Evaluate

$\left(2-y\right)\left(x-3\right)$

Solution Steps

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

$$2x-6-y\left(x-3\right)$$

Use the distributive property to multiply $y$ by $x-3$.

$$2x-6-\left(yx-3y\right)$$

To find the opposite of $yx-3y$, find the opposite of each term.

$$2x-6-yx-\left(-3y\right)$$

The opposite of $-3y$ is $3y$.

$$2x-6-yx+3y$$

Expand

$-xy+2x+3y-6$

Solution Steps

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

$$2x-6-y\left(x-3\right)$$

Use the distributive property to multiply $y$ by $x-3$.

$$2x-6-\left(yx-3y\right)$$

To find the opposite of $yx-3y$, find the opposite of each term.

$$2x-6-yx-\left(-3y\right)$$

The opposite of $-3y$ is $3y$.

$$2x-6-yx+3y$$