Precalculus Examples

$2 y - 3 y (4 - 2 (y - 1))$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$2 y - 3 y (4 - 2 y - 2 \cdot - 1)$

Step 1.1.2

Multiply $- 2$ by $- 1$ .

$2 y - 3 y (4 - 2 y + 2)$

$2 y - 3 y (4 - 2 y + 2)$

Step 1.2

Add $4$ and $2$ .

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

Step 1.3

Apply the distributive property.

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

Step 1.4

Rewrite using the commutative property of multiplication.

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

Step 1.5

Multiply $6$ by $- 3$ .

$2 y - 3 \cdot - 2 y \cdot y - 18 y$

Step 1.6

Simplify each term.

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Step 1.6.1

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

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Step 1.6.1.1

Move $y$ .

$2 y - 3 \cdot - 2 (y \cdot y) - 18 y$

Step 1.6.1.2

Multiply $y$ by $y$ .

$2 y - 3 \cdot - 2 y^{2} - 18 y$

$2 y - 3 \cdot - 2 y^{2} - 18 y$

Step 1.6.2

Multiply $- 3$ by $- 2$ .

$2 y + 6 y^{2} - 18 y$

$2 y + 6 y^{2} - 18 y$

$2 y + 6 y^{2} - 18 y$

Step 2

Subtract $18 y$ from $2 y$ .

$6 y^{2} - 16 y$

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