Algebra Examples

$\frac{1}{5} m^{3} - \frac{3}{4} p^{2} + \frac{4}{5} m^{3} + \frac{3}{4} p^{2}$

Step 1

Combine the opposite terms in $\frac{1}{5} m^{3} - \frac{3}{4} p^{2} + \frac{4}{5} m^{3} + \frac{3}{4} p^{2}$ .

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Step 1.1

Add $- \frac{3}{4} p^{2}$ and $\frac{3}{4} p^{2}$ .

$\frac{1}{5} m^{3} + \frac{4}{5} m^{3} + 0$

Step 1.2

Add $\frac{1}{5} m^{3} + \frac{4}{5} m^{3}$ and $0$ .

$\frac{1}{5} m^{3} + \frac{4}{5} m^{3}$

Step 2

Simplify each term.

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Step 2.1

Combine $\frac{1}{5}$ and $m^{3}$ .

$\frac{m^{3}}{5} + \frac{4}{5} m^{3}$

Step 2.2

Combine $\frac{4}{5}$ and $m^{3}$ .

$\frac{m^{3}}{5} + \frac{4 m^{3}}{5}$

Step 3

Simplify terms.

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Step 3.1

Combine the numerators over the common denominator.

$\frac{m^{3} + 4 m^{3}}{5}$

Step 3.2

Add $m^{3}$ and $4 m^{3}$ .

$\frac{5 m^{3}}{5}$

Step 3.3

Cancel the common factor of $5$ .

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Step 3.3.1

Cancel the common factor.

$\frac{5 m^{3}}{5}$

Step 3.3.2

Divide $m^{3}$ by $1$ .

$m^{3}$