Basic Math Examples

$3 (3 a + 8) - 5 a - 3$

Step 1

Factor $- 1$ out of $3 (3 a + 8) - 5 a - 3$ .

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Step 1.1

Factor $- 1$ out of $3 (3 a + 8)$ .

$- (- 3 (3 a + 8)) - 5 a - 3$

Step 1.2

Factor $- 1$ out of $- 5 a$ .

$- (- 3 (3 a + 8)) - (5 a) - 3$

Step 1.3

Rewrite $- 3$ as $- 1 (3)$ .

$- (- 3 (3 a + 8)) - (5 a) - 1 (3)$

Step 1.4

Factor $- 1$ out of $- (- 3 (3 a + 8)) - (5 a)$ .

$- (- 3 (3 a + 8) + 5 a) - 1 (3)$

Step 1.5

Factor $- 1$ out of $- (- 3 (3 a + 8) + 5 a) - 1 (3)$ .

$- (- 3 (3 a + 8) + 5 a + 3)$

$- (- 3 (3 a + 8) + 5 a + 3)$

Step 2

Apply the distributive property.

$- (- 3 (3 a) - 3 \cdot 8 + 5 a + 3)$

Step 3

Multiply $3$ by $- 3$ .

$- (- 9 a - 3 \cdot 8 + 5 a + 3)$

Step 4

Multiply $- 3$ by $8$ .

$- (- 9 a - 24 + 5 a + 3)$

Step 5

Add $- 9 a$ and $5 a$ .

$- (- 4 a - 24 + 3)$

Step 6

Add $- 24$ and $3$ .

$- (- 4 a - 21)$

Step 7

Factor.

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Step 7.1

Factor $- 1$ out of $- 4 a - 21$ .

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Step 7.1.1

Factor $- 1$ out of $- 4 a$ .

$- (- (4 a) - 21)$

Step 7.1.2

Rewrite $- 21$ as $- 1 (21)$ .

$- (- (4 a) - 1 (21))$

Step 7.1.3

Factor $- 1$ out of $- (4 a) - 1 (21)$ .

$- - (4 a + 21)$

$- - (4 a + 21)$

Step 7.2

Remove unnecessary parentheses.

$- - 1 (4 a + 21)$

$- - 1 (4 a + 21)$

Step 8

Combine exponents.

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Step 8.1

Factor out negative.

$- - (4 a + 21)$

Step 8.2

Multiply $- 1$ by $- 1$ .

$1 (4 a + 21)$

Step 8.3

Multiply $4 a + 21$ by $1$ .

$4 a + 21$

$4 a + 21$

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