Basic Math Examples

$3 y - (6 y + 2) (- y)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 y + (- (6 y) - 1 \cdot 2) (- y)$

Step 1.2

Multiply $6$ by $- 1$ .

$3 y + (- 6 y - 1 \cdot 2) (- y)$

Step 1.3

Multiply $- 1$ by $2$ .

$3 y + (- 6 y - 2) (- y)$

Step 1.4

Apply the distributive property.

$3 y - 6 y (- y) - 2 (- y)$

Step 1.5

Rewrite using the commutative property of multiplication.

$3 y - 6 \cdot - 1 y \cdot y - 2 (- y)$

Step 1.6

Multiply $- 1$ by $- 2$ .

$3 y - 6 \cdot - 1 y \cdot y + 2 y$

Step 1.7

Simplify each term.

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Step 1.7.1

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

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Step 1.7.1.1

Move $y$ .

$3 y - 6 \cdot - 1 (y \cdot y) + 2 y$

Step 1.7.1.2

Multiply $y$ by $y$ .

$3 y - 6 \cdot - 1 y^{2} + 2 y$

$3 y - 6 \cdot - 1 y^{2} + 2 y$

Step 1.7.2

Multiply $- 6$ by $- 1$ .

$3 y + 6 y^{2} + 2 y$

$3 y + 6 y^{2} + 2 y$

$3 y + 6 y^{2} + 2 y$

Step 2

Add $3 y$ and $2 y$ .

$6 y^{2} + 5 y$

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