Algebra Examples

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

Step 1

Apply the distributive property.

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

Step 2

Multiply $a$ by $a$ by adding the exponents.

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Step 2.1

Move $a$ .

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

Step 2.2

Multiply $a$ by $a$ .

$- 3 a^{2} b \cdot 5 - 3 a b (- 8 b)$

$- 3 a^{2} b \cdot 5 - 3 a b (- 8 b)$

Step 3

Multiply $b$ by $b$ by adding the exponents.

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Step 3.1

Move $b$ .

$- 3 a^{2} b \cdot 5 - 3 a (b \cdot b) \cdot - 8$

Step 3.2

Multiply $b$ by $b$ .

$- 3 a^{2} b \cdot 5 - 3 a b^{2} \cdot - 8$

$- 3 a^{2} b \cdot 5 - 3 a b^{2} \cdot - 8$

Step 4

Simplify each term.

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Step 4.1

Multiply $5$ by $- 3$ .

$- 15 a^{2} b - 3 a b^{2} \cdot - 8$

Step 4.2

Multiply $- 8$ by $- 3$ .

$- 15 a^{2} b + 24 a b^{2}$

$- 15 a^{2} b + 24 a b^{2}$

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