Finite Math Examples

$(- 4 y^{2} - 3 y + 8) - (2 y^{2} - 6 y - 2)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 4 y^{2} - 3 y + 8 - (2 y^{2}) - (- 6 y) - - 2$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $2$ by $- 1$ .

$- 4 y^{2} - 3 y + 8 - 2 y^{2} - (- 6 y) - - 2$

Step 1.2.2

Multiply $- 6$ by $- 1$ .

$- 4 y^{2} - 3 y + 8 - 2 y^{2} + 6 y - - 2$

Step 1.2.3

Multiply $- 1$ by $- 2$ .

$- 4 y^{2} - 3 y + 8 - 2 y^{2} + 6 y + 2$

$- 4 y^{2} - 3 y + 8 - 2 y^{2} + 6 y + 2$

$- 4 y^{2} - 3 y + 8 - 2 y^{2} + 6 y + 2$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $2 y^{2}$ from $- 4 y^{2}$ .

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

Step 2.2

Add $- 3 y$ and $6 y$ .

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

Step 2.3

Add $8$ and $2$ .

$- 6 y^{2} + 3 y + 10$

$- 6 y^{2} + 3 y + 10$

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