Algebra Examples

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

Step 1

Remove parentheses.

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

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

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

Step 2.2

Rewrite using the commutative property of multiplication.

$2 x - 3 + 4 \cdot 3 x \cdot x + 4 x \cdot 2$

Step 2.3

Multiply $2$ by $4$ .

$2 x - 3 + 4 \cdot 3 x \cdot x + 8 x$

Step 2.4

Simplify each term.

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Step 2.4.1

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

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Step 2.4.1.1

Move $x$ .

$2 x - 3 + 4 \cdot 3 (x \cdot x) + 8 x$

Step 2.4.1.2

Multiply $x$ by $x$ .

$2 x - 3 + 4 \cdot 3 x^{2} + 8 x$

$2 x - 3 + 4 \cdot 3 x^{2} + 8 x$

Step 2.4.2

Multiply $4$ by $3$ .

$2 x - 3 + 12 x^{2} + 8 x$

$2 x - 3 + 12 x^{2} + 8 x$

$2 x - 3 + 12 x^{2} + 8 x$

Step 3

Simplify by adding terms.

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Step 3.1

Add $2 x$ and $8 x$ .

$10 x - 3 + 12 x^{2}$

Step 3.2

Simplify the expression.

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Step 3.2.1

Move $- 3$ .

$10 x + 12 x^{2} - 3$

Step 3.2.2

Reorder $10 x$ and $12 x^{2}$ .

$12 x^{2} + 10 x - 3$

$12 x^{2} + 10 x - 3$

$12 x^{2} + 10 x - 3$

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