Algebra Examples

$\frac{6 m^{3} - 16 m^{2} + 15 m - 40}{2 m^{2} + 5}$

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.

$\frac{(6 m^{3} - 16 m^{2}) + 15 m - 40}{2 m^{2} + 5}$

Step 1.1.2

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

$\frac{2 m^{2} (3 m - 8) + 5 (3 m - 8)}{2 m^{2} + 5}$

Step 1.2

Factor the polynomial by factoring out the greatest common factor, $3 m - 8$ .

$\frac{(3 m - 8) (2 m^{2} + 5)}{2 m^{2} + 5}$

Step 2

Cancel the common factor of $2 m^{2} + 5$ .

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Step 2.1

Cancel the common factor.

$\frac{(3 m - 8) (2 m^{2} + 5)}{2 m^{2} + 5}$

Step 2.2

Divide $3 m - 8$ by $1$ .

$3 m - 8$