Pre-Algebra Examples

$\frac{2}{3} a^{2} - \frac{1}{2} \cdot (a b) + \frac{1}{5} b^{2}$

Step 1

Simplify each term.

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Step 1.1

Combine $\frac{2}{3}$ and $a^{2}$ .

$\frac{2 a^{2}}{3} - \frac{1}{2} \cdot (a b) + \frac{1}{5} b^{2}$

Step 1.2

Multiply $- \frac{1}{2} (a b)$ .

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Step 1.2.1

Combine $a$ and $\frac{1}{2}$ .

$\frac{2 a^{2}}{3} - \frac{a}{2} b + \frac{1}{5} b^{2}$

Step 1.2.2

Combine $b$ and $\frac{a}{2}$ .

$\frac{2 a^{2}}{3} - \frac{b a}{2} + \frac{1}{5} b^{2}$

Step 1.3

Combine $\frac{1}{5}$ and $b^{2}$ .

$\frac{2 a^{2}}{3} - \frac{b a}{2} + \frac{b^{2}}{5}$

Step 2

Reorder $b$ and $a$ .

$\frac{2 a^{2}}{3} - \frac{a b}{2} + \frac{b^{2}}{5}$