Finite Math Examples

$5 x^{2} - (7 x - 3 x (4 x + 1))$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$5 x^{2} - (7 x - 3 x (4 x) - 3 x \cdot 1)$

Step 1.1.2

Rewrite using the commutative property of multiplication.

$5 x^{2} - (7 x - 3 \cdot 4 x \cdot x - 3 x \cdot 1)$

Step 1.1.3

Multiply $- 3$ by $1$ .

$5 x^{2} - (7 x - 3 \cdot 4 x \cdot x - 3 x)$

Step 1.1.4

Simplify each term.

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Step 1.1.4.1

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

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Step 1.1.4.1.1

Move $x$ .

$5 x^{2} - (7 x - 3 \cdot 4 (x \cdot x) - 3 x)$

Step 1.1.4.1.2

Multiply $x$ by $x$ .

$5 x^{2} - (7 x - 3 \cdot 4 x^{2} - 3 x)$

Step 1.1.4.2

Multiply $- 3$ by $4$ .

$5 x^{2} - (7 x - 12 x^{2} - 3 x)$

Step 1.2

Subtract $3 x$ from $7 x$ .

$5 x^{2} - (- 12 x^{2} + 4 x)$

Step 1.3

Apply the distributive property.

$5 x^{2} - (- 12 x^{2}) - (4 x)$

Step 1.4

Multiply $- 12$ by $- 1$ .

$5 x^{2} + 12 x^{2} - (4 x)$

Step 1.5

Multiply $4$ by $- 1$ .

$5 x^{2} + 12 x^{2} - 4 x$

Step 2

Add $5 x^{2}$ and $12 x^{2}$ .

$17 x^{2} - 4 x$