Algebra Examples

${(x + h)}^{3}$

Step 1

Use the Binomial Theorem.

$x^{3} + 3 x^{2} h + 3 x h^{2} + h^{3}$

Step 2

Simplify the expression.

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Step 2.1

Move $x^{2}$ .

$x^{3} + 3 h x^{2} + 3 x h^{2} + h^{3}$

Step 2.2

Move $x$ .

$x^{3} + 3 h x^{2} + 3 h^{2} x + h^{3}$

Step 2.3

Move $x^{3}$ .

$3 h x^{2} + 3 h^{2} x + h^{3} + x^{3}$

Step 2.4

Move $3 h x^{2}$ .

$3 h^{2} x + h^{3} + 3 h x^{2} + x^{3}$

Step 2.5

Reorder $3 h^{2} x$ and $h^{3}$ .

$h^{3} + 3 h^{2} x + 3 h x^{2} + x^{3}$

$h^{3} + 3 h^{2} x + 3 h x^{2} + x^{3}$

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