Finite Math Examples

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

Step 1

Simplify the numerator.

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Step 1.1

Factor out the greatest common factor from each group.

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Step 1.1.1

Group the first two terms and the last two terms.

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

Step 1.1.2

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

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

Step 1.2

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

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

Step 2

Cancel the common factor of $y + 3$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Divide $y + x$ by $1$ .

$y + x$