Basic Math Examples

$2 (- 3 x + 7 y) - 5 (2 x - 9 y)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 (- 3 x) + 2 (7 y) - 5 (2 x - 9 y)$

Step 1.2

Multiply $- 3$ by $2$ .

$- 6 x + 2 (7 y) - 5 (2 x - 9 y)$

Step 1.3

Multiply $7$ by $2$ .

$- 6 x + 14 y - 5 (2 x - 9 y)$

Step 1.4

Apply the distributive property.

$- 6 x + 14 y - 5 (2 x) - 5 (- 9 y)$

Step 1.5

Multiply $2$ by $- 5$ .

$- 6 x + 14 y - 10 x - 5 (- 9 y)$

Step 1.6

Multiply $- 9$ by $- 5$ .

$- 6 x + 14 y - 10 x + 45 y$

$- 6 x + 14 y - 10 x + 45 y$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $10 x$ from $- 6 x$ .

$- 16 x + 14 y + 45 y$

Step 2.2

Add $14 y$ and $45 y$ .

$- 16 x + 59 y$

$- 16 x + 59 y$

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