Basic Math Examples

$(2 y^{2}) (\frac{150 - 2 y^{2}}{3})$

Step 1

Factor $2$ out of $150 - 2 y^{2}$ .

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Step 1.1

Factor $2$ out of $150$ .

$2 y^{2} \frac{2 (75) - 2 y^{2}}{3}$

Step 1.2

Factor $2$ out of $- 2 y^{2}$ .

$2 y^{2} \frac{2 (75) + 2 (- y^{2})}{3}$

Step 1.3

Factor $2$ out of $2 (75) + 2 (- y^{2})$ .

$2 y^{2} \frac{2 (75 - y^{2})}{3}$

$2 y^{2} \frac{2 (75 - y^{2})}{3}$

Step 2

Multiply $2 y^{2} \frac{2 (75 - y^{2})}{3}$ .

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Step 2.1

Combine $2$ and $\frac{2 (75 - y^{2})}{3}$ .

$y^{2} \frac{2 (2 (75 - y^{2}))}{3}$

Step 2.2

Multiply $2$ by $2$ .

$y^{2} \frac{4 (75 - y^{2})}{3}$

Step 2.3

Combine $y^{2}$ and $\frac{4 (75 - y^{2})}{3}$ .

$\frac{y^{2} (4 (75 - y^{2}))}{3}$

$\frac{y^{2} (4 (75 - y^{2}))}{3}$

Step 3

Remove unnecessary parentheses.

$\frac{y^{2} \cdot 4 (75 - y^{2})}{3}$

Step 4

Move $4$ to the left of $y^{2}$ .

$\frac{4 y^{2} (75 - y^{2})}{3}$

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