How to solve 3xy + 3 - 3x - 3y

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 3xy + 3 - 3x - 3y | Equatix

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Example

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$3xy+3-3x-3y$$

Factor

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

Solution Steps

Factor out $3$.

$$3\left(xy+1-x-y\right)$$

Consider $xy+1-x-y$. Do the grouping $xy+1-x-y=\left(xy-x\right)+\left(-y\right)$, and factor out $x$ in the first and $-1$ in the second group.

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

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

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

Rewrite the complete factored expression.

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

Show Solution

Evaluate

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

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Factor

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