Pre-Algebra Examples

$\frac{x^{2} + x y + 3 x + 3 y}{x + 3}$

Step 1

Factor out the greatest common factor from each group.

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Step 1.1

Group the first two terms and the last two terms.

$\frac{(x^{2} + x y) + 3 x + 3 y}{x + 3}$

Step 1.2

Factor out the greatest common factor (GCF) from each group.

$\frac{x (x + y) + 3 (x + y)}{x + 3}$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x + y$ .

$\frac{(x + y) (x + 3)}{x + 3}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Reduce the expression $\frac{(x + y) (x + 3)}{x + 3}$ by cancelling the common factors.

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Step 3.1.1

Cancel the common factor.

$\frac{(x + y) (x + 3)}{x + 3}$

Step 3.1.2

Rewrite the expression.

$\frac{x + y}{1}$

Step 3.2

Divide $x + y$ by $1$ .

$x + y$