Basic Math Examples

$6 y^{2} - y (3 y - 8 + 2 y)$

Step 1

Simplify each term.

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Step 1.1

Add $3 y$ and $2 y$ .

$6 y^{2} - y (5 y - 8)$

Step 1.2

Apply the distributive property.

$6 y^{2} - y (5 y) - y \cdot - 8$

Step 1.3

Rewrite using the commutative property of multiplication.

$6 y^{2} - 1 \cdot 5 y \cdot y - y \cdot - 8$

Step 1.4

Multiply $- 8$ by $- 1$ .

$6 y^{2} - 1 \cdot 5 y \cdot y + 8 y$

Step 1.5

Simplify each term.

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Step 1.5.1

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

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Step 1.5.1.1

Move $y$ .

$6 y^{2} - 1 \cdot 5 (y \cdot y) + 8 y$

Step 1.5.1.2

Multiply $y$ by $y$ .

$6 y^{2} - 1 \cdot 5 y^{2} + 8 y$

$6 y^{2} - 1 \cdot 5 y^{2} + 8 y$

Step 1.5.2

Multiply $- 1$ by $5$ .

$6 y^{2} - 5 y^{2} + 8 y$

$6 y^{2} - 5 y^{2} + 8 y$

$6 y^{2} - 5 y^{2} + 8 y$

Step 2

Subtract $5 y^{2}$ from $6 y^{2}$ .

$y^{2} + 8 y$

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