Basic Math Examples

$90 - 15 y^{2} - 18 z + 3 z^{2} y$

Step 1

Regroup terms.

$90 - 15 y^{2} - 18 z + 3 z^{2} y$

Step 2

Factor $15$ out of $90 - 15 y^{2}$ .

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Step 2.1

Factor $15$ out of $90$ .

$15 (6) - 15 y^{2} - 18 z + 3 z^{2} y$

Step 2.2

Factor $15$ out of $- 15 y^{2}$ .

$15 (6) + 15 (- y^{2}) - 18 z + 3 z^{2} y$

Step 2.3

Factor $15$ out of $15 (6) + 15 (- y^{2})$ .

$15 (6 - y^{2}) - 18 z + 3 z^{2} y$

$15 (6 - y^{2}) - 18 z + 3 z^{2} y$

Step 3

Factor $3 z$ out of $- 18 z + 3 z^{2} y$ .

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Step 3.1

Factor $3 z$ out of $- 18 z$ .

$15 (6 - y^{2}) + 3 z (- 6) + 3 z^{2} y$

Step 3.2

Factor $3 z$ out of $3 z^{2} y$ .

$15 (6 - y^{2}) + 3 z (- 6) + 3 z (z y)$

Step 3.3

Factor $3 z$ out of $3 z (- 6) + 3 z (z y)$ .

$15 (6 - y^{2}) + 3 z (- 6 + z y)$

$15 (6 - y^{2}) + 3 z (- 6 + z y)$

Step 4

Factor $3$ out of $15 (6 - y^{2}) + 3 z (- 6 + z y)$ .

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Step 4.1

Factor $3$ out of $15 (6 - y^{2})$ .

$3 (5 (6 - y^{2})) + 3 z (- 6 + z y)$

Step 4.2

Factor $3$ out of $3 z (- 6 + z y)$ .

$3 (5 (6 - y^{2})) + 3 (z (- 6 + z y))$

Step 4.3

Factor $3$ out of $3 (5 (6 - y^{2})) + 3 (z (- 6 + z y))$ .

$3 (5 (6 - y^{2}) + z (- 6 + z y))$

$3 (5 (6 - y^{2}) + z (- 6 + z y))$

Step 5

Apply the distributive property.

$3 (5 \cdot 6 + 5 (- y^{2}) + z (- 6 + z y))$

Step 6

Multiply $5$ by $6$ .

$3 (30 + 5 (- y^{2}) + z (- 6 + z y))$

Step 7

Multiply $- 1$ by $5$ .

$3 (30 - 5 y^{2} + z (- 6 + z y))$

Step 8

Apply the distributive property.

$3 (30 - 5 y^{2} + z \cdot - 6 + z (z y))$

Step 9

Move $- 6$ to the left of $z$ .

$3 (30 - 5 y^{2} - 6 \cdot z + z (z y))$

Step 10

Multiply $z$ by $z$ by adding the exponents.

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Step 10.1

Move $z$ .

$3 (30 - 5 y^{2} - 6 \cdot z + z \cdot z y)$

Step 10.2

Multiply $z$ by $z$ .

$3 (30 - 5 y^{2} - 6 \cdot z + z^{2} y)$

$3 (30 - 5 y^{2} - 6 z + z^{2} y)$

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