Basic Math Examples

$7 (a + 3 b) - 3 (2 a - 4 b)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$7 a + 7 (3 b) - 3 (2 a - 4 b)$

Step 1.2

Multiply $3$ by $7$ .

$7 a + 21 b - 3 (2 a - 4 b)$

Step 1.3

Apply the distributive property.

$7 a + 21 b - 3 (2 a) - 3 (- 4 b)$

Step 1.4

Multiply $2$ by $- 3$ .

$7 a + 21 b - 6 a - 3 (- 4 b)$

Step 1.5

Multiply $- 4$ by $- 3$ .

$7 a + 21 b - 6 a + 12 b$

$7 a + 21 b - 6 a + 12 b$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $6 a$ from $7 a$ .

$a + 21 b + 12 b$

Step 2.2

Add $21 b$ and $12 b$ .

$a + 33 b$

$a + 33 b$

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