Basic Math Examples

$\frac{x^{3} + 7 x^{2} - 3 x - 21}{x + 7}$

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.

$\frac{(x^{3} + 7 x^{2}) - 3 x - 21}{x + 7}$

Step 1.1.2

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

$\frac{x^{2} (x + 7) - 3 (x + 7)}{x + 7}$

Step 1.2

Factor the polynomial by factoring out the greatest common factor, $x + 7$ .

$\frac{(x + 7) (x^{2} - 3)}{x + 7}$

Step 2

Cancel the common factor of $x + 7$ .

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Step 2.1

Cancel the common factor.

$\frac{(x + 7) (x^{2} - 3)}{x + 7}$

Step 2.2

Divide $x^{2} - 3$ by $1$ .

$x^{2} - 3$