Basic Math Examples

$(8 y^{2} - y + 1) z y$

Step 1

Apply the distributive property.

$(8 y^{2} z - y z + 1 z) y$

Step 2

Multiply $z$ by $1$ .

$(8 y^{2} z - y z + z) y$

Step 3

Apply the distributive property.

$8 y^{2} z y - y z y + z y$

Step 4

Simplify.

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Step 4.1

Multiply $y^{2}$ by $y$ by adding the exponents.

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Step 4.1.1

Move $y$ .

$8 (y \cdot y^{2}) z - y z y + z y$

Step 4.1.2

Multiply $y$ by $y^{2}$ .

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Step 4.1.2.1

Raise $y$ to the power of $1$ .

$8 (y^{1} y^{2}) z - y z y + z y$

Step 4.1.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$8 y^{1 + 2} z - y z y + z y$

$8 y^{1 + 2} z - y z y + z y$

Step 4.1.3

Add $1$ and $2$ .

$8 y^{3} z - y z y + z y$

$8 y^{3} z - y z y + z y$

Step 4.2

Multiply $y$ by $y$ by adding the exponents.

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Step 4.2.1

Move $y$ .

$8 y^{3} z - (y \cdot y) z + z y$

Step 4.2.2

Multiply $y$ by $y$ .

$8 y^{3} z - y^{2} z + z y$

$8 y^{3} z - y^{2} z + z y$

$8 y^{3} z - y^{2} z + z y$

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