Algebra Examples

Subtract $- 2 x^{2} + 3 x - 9$ from $8 x^{2} + 10 x - 10$

Step 1

Write the problem as a mathematical expression.

$8 x^{2} + 10 x - 10 - (- 2 x^{2} + 3 x - 9)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$8 x^{2} + 10 x - 10 - (- 2 x^{2}) - (3 x) - - 9$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $- 2$ by $- 1$ .

$8 x^{2} + 10 x - 10 + 2 x^{2} - (3 x) - - 9$

Step 2.2.2

Multiply $3$ by $- 1$ .

$8 x^{2} + 10 x - 10 + 2 x^{2} - 3 x - - 9$

Step 2.2.3

Multiply $- 1$ by $- 9$ .

$8 x^{2} + 10 x - 10 + 2 x^{2} - 3 x + 9$

$8 x^{2} + 10 x - 10 + 2 x^{2} - 3 x + 9$

$8 x^{2} + 10 x - 10 + 2 x^{2} - 3 x + 9$

Step 3

Simplify by adding terms.

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Step 3.1

Add $8 x^{2}$ and $2 x^{2}$ .

$10 x^{2} + 10 x - 10 - 3 x + 9$

Step 3.2

Subtract $3 x$ from $10 x$ .

$10 x^{2} + 7 x - 10 + 9$

Step 3.3

Add $- 10$ and $9$ .

$10 x^{2} + 7 x - 1$

$10 x^{2} + 7 x - 1$

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