Basic Math Examples

$\frac{9}{4} z^{2} + 2 z y + \frac{4}{9} y^{2}$

Step 1

Simplify each term.

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Step 1.1

Combine $\frac{9}{4}$ and $z^{2}$ .

$\frac{9 z^{2}}{4} + 2 z y + \frac{4}{9} y^{2}$

Step 1.2

Combine $\frac{4}{9}$ and $y^{2}$ .

$\frac{9 z^{2}}{4} + 2 z y + \frac{4 y^{2}}{9}$

$\frac{9 z^{2}}{4} + 2 z y + \frac{4 y^{2}}{9}$

Step 2

Simplify the expression.

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Step 2.1

Move $z$ .

$\frac{9 z^{2}}{4} + 2 y z + \frac{4 y^{2}}{9}$

Step 2.2

Move $\frac{9 z^{2}}{4}$ .

$2 y z + \frac{4 y^{2}}{9} + \frac{9 z^{2}}{4}$

Step 2.3

Reorder $2 y z$ and $\frac{4 y^{2}}{9}$ .

$\frac{4 y^{2}}{9} + 2 y z + \frac{9 z^{2}}{4}$

$\frac{4 y^{2}}{9} + 2 y z + \frac{9 z^{2}}{4}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$