Trigonometry Examples

$(- 3 x) (4 x - 1)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$- 3 x (4 x) - 3 x \cdot - 1$

Step 1.2

Simplify the expression.

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Step 1.2.1

Rewrite using the commutative property of multiplication.

$- 3 \cdot 4 x \cdot x - 3 x \cdot - 1$

Step 1.2.2

Multiply $- 1$ by $- 3$ .

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

Step 2

Simplify each term.

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Step 2.1

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

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Step 2.1.1

Move $x$ .

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

Step 2.1.2

Multiply $x$ by $x$ .

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

Step 2.2

Multiply $- 3$ by $4$ .

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