Algebra Examples

$- 2 x a (- 4 x b - 2 x \cdot 3 + 5 x)$

Step 1

Multiply $3$ by $- 2$ .

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

Step 2

Add $- 6 x$ and $5 x$ .

$- 2 x a (- 4 x b - x)$

Step 3

Apply the distributive property.

$- 2 x a (- 4 x b) - 2 x a (- x)$

Step 4

Multiply $x$ by $x$ by adding the exponents.

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Step 4.1

Move $x$ .

$- 2 (x \cdot x) a (- 4 b) - 2 x a (- x)$

Step 4.2

Multiply $x$ by $x$ .

$- 2 x^{2} a (- 4 b) - 2 x a (- x)$

$- 2 x^{2} a (- 4 b) - 2 x a (- x)$

Step 5

Multiply $x$ by $x$ by adding the exponents.

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Step 5.1

Move $x$ .

$- 2 x^{2} a (- 4 b) - 2 (x \cdot x) a \cdot - 1$

Step 5.2

Multiply $x$ by $x$ .

$- 2 x^{2} a (- 4 b) - 2 x^{2} a \cdot - 1$

$- 2 x^{2} a (- 4 b) - 2 x^{2} a \cdot - 1$

Step 6

Simplify each term.

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Step 6.1

Multiply $- 4$ by $- 2$ .

$8 x^{2} a b - 2 x^{2} a \cdot - 1$

Step 6.2

Multiply $- 1$ by $- 2$ .

$8 x^{2} a b + 2 x^{2} a$

$8 x^{2} a b + 2 x^{2} a$

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