Algebra Examples

$4 x (2 (x - 3) + 5)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Multiply $2$ by $- 3$ .

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

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

Step 2

Simplify by multiplying through.

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Step 2.1

Add $- 6$ and $5$ .

$4 x (2 x - 1)$

Step 2.2

Apply the distributive property.

$4 x (2 x) + 4 x \cdot - 1$

Step 2.3

Simplify the expression.

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Step 2.3.1

Rewrite using the commutative property of multiplication.

$4 \cdot 2 x \cdot x + 4 x \cdot - 1$

Step 2.3.2

Multiply $- 1$ by $4$ .

$4 \cdot 2 x \cdot x - 4 x$

$4 \cdot 2 x \cdot x - 4 x$

$4 \cdot 2 x \cdot x - 4 x$

Step 3

Simplify each term.

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Step 3.1

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

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Step 3.1.1

Move $x$ .

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

Step 3.1.2

Multiply $x$ by $x$ .

$4 \cdot 2 x^{2} - 4 x$

$4 \cdot 2 x^{2} - 4 x$

Step 3.2

Multiply $4$ by $2$ .

$8 x^{2} - 4 x$

$8 x^{2} - 4 x$

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