Algebra Examples

$2 x (5 x + 3) - 6 x^{2} + 3$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 x (5 x) + 2 x \cdot 3 - 6 x^{2} + 3$

Step 1.2

Rewrite using the commutative property of multiplication.

$2 \cdot 5 x \cdot x + 2 x \cdot 3 - 6 x^{2} + 3$

Step 1.3

Multiply $3$ by $2$ .

$2 \cdot 5 x \cdot x + 6 x - 6 x^{2} + 3$

Step 1.4

Simplify each term.

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Step 1.4.1

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

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Step 1.4.1.1

Move $x$ .

$2 \cdot 5 (x \cdot x) + 6 x - 6 x^{2} + 3$

Step 1.4.1.2

Multiply $x$ by $x$ .

$2 \cdot 5 x^{2} + 6 x - 6 x^{2} + 3$

$2 \cdot 5 x^{2} + 6 x - 6 x^{2} + 3$

Step 1.4.2

Multiply $2$ by $5$ .

$10 x^{2} + 6 x - 6 x^{2} + 3$

$10 x^{2} + 6 x - 6 x^{2} + 3$

$10 x^{2} + 6 x - 6 x^{2} + 3$

Step 2

Subtract $6 x^{2}$ from $10 x^{2}$ .

$4 x^{2} + 6 x + 3$

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