Basic Math Examples

$a (a - 8 b) - 6 a (a + b)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$a \cdot a + a (- 8 b) - 6 a (a + b)$

Step 1.2

Multiply $a$ by $a$ .

$a^{2} + a (- 8 b) - 6 a (a + b)$

Step 1.3

Rewrite using the commutative property of multiplication.

$a^{2} - 8 a b - 6 a (a + b)$

Step 1.4

Apply the distributive property.

$a^{2} - 8 a b - 6 a \cdot a - 6 a b$

Step 1.5

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

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Step 1.5.1

Move $a$ .

$a^{2} - 8 a b - 6 (a \cdot a) - 6 a b$

Step 1.5.2

Multiply $a$ by $a$ .

$a^{2} - 8 a b - 6 a^{2} - 6 a b$

$a^{2} - 8 a b - 6 a^{2} - 6 a b$

$a^{2} - 8 a b - 6 a^{2} - 6 a b$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $6 a^{2}$ from $a^{2}$ .

$- 5 a^{2} - 8 a b - 6 a b$

Step 2.2

Subtract $6 a b$ from $- 8 a b$ .

$- 5 a^{2} - 14 a b$

$- 5 a^{2} - 14 a b$

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