Basic Math Examples

${(z + y)}^{3}$

Step 1

Use the Binomial Theorem.

$z^{3} + 3 z^{2} y + 3 z y^{2} + y^{3}$

Step 2

Simplify the expression.

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Step 2.1

Move $z^{2}$ .

$z^{3} + 3 y z^{2} + 3 z y^{2} + y^{3}$

Step 2.2

Move $z$ .

$z^{3} + 3 y z^{2} + 3 y^{2} z + y^{3}$

Step 2.3

Move $z^{3}$ .

$3 y z^{2} + 3 y^{2} z + y^{3} + z^{3}$

Step 2.4

Move $3 y z^{2}$ .

$3 y^{2} z + y^{3} + 3 y z^{2} + z^{3}$

Step 2.5

Reorder $3 y^{2} z$ and $y^{3}$ .

$y^{3} + 3 y^{2} z + 3 y z^{2} + z^{3}$

$y^{3} + 3 y^{2} z + 3 y z^{2} + z^{3}$

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