Algebra Examples

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

Step 1

Apply the distributive property.

$6 a \cdot a + 6 a \cdot - 2 - 5 b (b + 4)$

Step 2

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

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Step 2.1

Move $a$ .

$6 (a \cdot a) + 6 a \cdot - 2 - 5 b (b + 4)$

Step 2.2

Multiply $a$ by $a$ .

$6 a^{2} + 6 a \cdot - 2 - 5 b (b + 4)$

$6 a^{2} + 6 a \cdot - 2 - 5 b (b + 4)$

Step 3

Multiply $- 2$ by $6$ .

$6 a^{2} - 12 a - 5 b (b + 4)$

Step 4

Apply the distributive property.

$6 a^{2} - 12 a - 5 b \cdot b - 5 b \cdot 4$

Step 5

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

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Step 5.1

Move $b$ .

$6 a^{2} - 12 a - 5 (b \cdot b) - 5 b \cdot 4$

Step 5.2

Multiply $b$ by $b$ .

$6 a^{2} - 12 a - 5 b^{2} - 5 b \cdot 4$

$6 a^{2} - 12 a - 5 b^{2} - 5 b \cdot 4$

Step 6

Multiply $4$ by $- 5$ .

$6 a^{2} - 12 a - 5 b^{2} - 20 b$

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