Solve 3nx - 3x - 3ny + 3y + 2 | 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

$$3 n x - 3 x - 3 n y + 3 y$$

Factor

$3\left(n-1\right)\left(x-y\right)$

Solution Steps

Factor out $3$.

$$3\left(nx-x-ny+y\right)$$

Consider $nx-x-ny+y$. Do the grouping $nx-x-ny+y=\left(nx-x\right)+\left(-ny+y\right)$, and factor out $x$ in the first and $-y$ in the second group.

$$x\left(n-1\right)-y\left(n-1\right)$$

Factor out common term $n-1$ by using distributive property.

$$\left(n-1\right)\left(x-y\right)$$

Rewrite the complete factored expression.

$$3\left(n-1\right)\left(x-y\right)$$

Evaluate

$3\left(n-1\right)\left(x-y\right)$