Basic Math Examples

$- 10 (5 r^{2} - 7 r^{0}) + 8 (8 r^{2} + 5 r)$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Anything raised to $0$ is $1$ .

$- 10 (5 r^{2} - 7 \cdot 1) + 8 (8 r^{2} + 5 r)$

Step 1.1.2

Multiply $- 7$ by $1$ .

$- 10 (5 r^{2} - 7) + 8 (8 r^{2} + 5 r)$

$- 10 (5 r^{2} - 7) + 8 (8 r^{2} + 5 r)$

Step 1.2

Apply the distributive property.

$- 10 (5 r^{2}) - 10 \cdot - 7 + 8 (8 r^{2} + 5 r)$

Step 1.3

Multiply $5$ by $- 10$ .

$- 50 r^{2} - 10 \cdot - 7 + 8 (8 r^{2} + 5 r)$

Step 1.4

Multiply $- 10$ by $- 7$ .

$- 50 r^{2} + 70 + 8 (8 r^{2} + 5 r)$

Step 1.5

Apply the distributive property.

$- 50 r^{2} + 70 + 8 (8 r^{2}) + 8 (5 r)$

Step 1.6

Multiply $8$ by $8$ .

$- 50 r^{2} + 70 + 64 r^{2} + 8 (5 r)$

Step 1.7

Multiply $5$ by $8$ .

$- 50 r^{2} + 70 + 64 r^{2} + 40 r$

$- 50 r^{2} + 70 + 64 r^{2} + 40 r$

Step 2

Simplify by adding terms.

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Step 2.1

Add $- 50 r^{2}$ and $64 r^{2}$ .

$14 r^{2} + 70 + 40 r$

Step 2.2

Move $70$ .

$14 r^{2} + 40 r + 70$

$14 r^{2} + 40 r + 70$

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