Algebra Examples

$- 9 (- 10 n - 4 - 7 n^{2}) - 7 n$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 9 (- 10 n) - 9 \cdot - 4 - 9 (- 7 n^{2}) - 7 n$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 10$ by $- 9$ .

$90 n - 9 \cdot - 4 - 9 (- 7 n^{2}) - 7 n$

Step 1.2.2

Multiply $- 9$ by $- 4$ .

$90 n + 36 - 9 (- 7 n^{2}) - 7 n$

Step 1.2.3

Multiply $- 7$ by $- 9$ .

$90 n + 36 + 63 n^{2} - 7 n$

$90 n + 36 + 63 n^{2} - 7 n$

$90 n + 36 + 63 n^{2} - 7 n$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $7 n$ from $90 n$ .

$83 n + 36 + 63 n^{2}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Move $36$ .

$83 n + 63 n^{2} + 36$

Step 2.2.2

Reorder $83 n$ and $63 n^{2}$ .

$63 n^{2} + 83 n + 36$

$63 n^{2} + 83 n + 36$

$63 n^{2} + 83 n + 36$

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