Basic Math Examples

$4 a + (6 a - (3 a - 2 b) + 5 b)$

Step 1

Remove parentheses.

$4 a + 6 a - (3 a - 2 b) + 5 b$

Step 2

Regroup terms.

$4 a - (3 a - 2 b) + 6 a + 5 b$

Step 3

Apply the distributive property.

$4 a - (3 a) - (- 2 b) + 6 a + 5 b$

Step 4

Multiply $3$ by $- 1$ .

$4 a - 3 a - (- 2 b) + 6 a + 5 b$

Step 5

Multiply $- 2$ by $- 1$ .

$4 a - 3 a + 2 b + 6 a + 5 b$

Step 6

Subtract $3 a$ from $4 a$ .

$a + 2 b + 6 a + 5 b$

Step 7

Add $a$ and $6 a$ .

$7 a + 2 b + 5 b$

Step 8

Add $2 b$ and $5 b$ .

$7 a + 7 b$

Step 9

Factor $7$ out of $7 a + 7 b$ .

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Step 9.1

Factor $7$ out of $7 a$ .

$7 (a) + 7 b$

Step 9.2

Factor $7$ out of $7 b$ .

$7 (a) + 7 (b)$

Step 9.3

Factor $7$ out of $7 (a) + 7 (b)$ .

$7 (a + b)$

$7 (a + b)$

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