Algebra Examples

$2 a - (7 a - (3 a - 7 b) + (10 a - 9 b))$

Step 1

Remove parentheses.

$2 a - (7 a - (3 a - 7 b) + 10 a - 9 b)$

Step 2

Simplify each term.

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$2 a - (7 a - (3 a) - (- 7 b) + 10 a - 9 b)$

Step 2.1.2

Multiply $3$ by $- 1$ .

$2 a - (7 a - 3 a - (- 7 b) + 10 a - 9 b)$

Step 2.1.3

Multiply $- 7$ by $- 1$ .

$2 a - (7 a - 3 a + 7 b + 10 a - 9 b)$

$2 a - (7 a - 3 a + 7 b + 10 a - 9 b)$

Step 2.2

Subtract $3 a$ from $7 a$ .

$2 a - (4 a + 7 b + 10 a - 9 b)$

Step 2.3

Add $4 a$ and $10 a$ .

$2 a - (14 a + 7 b - 9 b)$

Step 2.4

Subtract $9 b$ from $7 b$ .

$2 a - (14 a - 2 b)$

Step 2.5

Apply the distributive property.

$2 a - (14 a) - (- 2 b)$

Step 2.6

Multiply $14$ by $- 1$ .

$2 a - 14 a - (- 2 b)$

Step 2.7

Multiply $- 2$ by $- 1$ .

$2 a - 14 a + 2 b$

$2 a - 14 a + 2 b$

Step 3

Subtract $14 a$ from $2 a$ .

$- 12 a + 2 b$

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