Algebra Examples

$- 4 x^{2} - (3 x - (18 x^{2} + 4 x)) - (8 + (- 10 x - 8))$

Step 1

Simplify by adding terms.

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Step 1.1

Remove parentheses.

$- 4 x^{2} - (3 x - (18 x^{2} + 4 x)) - (8 - 10 x - 8)$

Step 1.2

Combine the opposite terms in $- 4 x^{2} - (3 x - (18 x^{2} + 4 x)) - (8 - 10 x - 8)$ .

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Step 1.2.1

Subtract $8$ from $8$ .

$- 4 x^{2} - (3 x - (18 x^{2} + 4 x)) - (- 10 x + 0)$

Step 1.2.2

Add $- 10 x$ and $0$ .

$- 4 x^{2} - (3 x - (18 x^{2} + 4 x)) - (- 10 x)$

Step 2

Simplify each term.

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$- 4 x^{2} - (3 x - (18 x^{2}) - (4 x)) - (- 10 x)$

Step 2.1.2

Multiply $18$ by $- 1$ .

$- 4 x^{2} - (3 x - 18 x^{2} - (4 x)) - (- 10 x)$

Step 2.1.3

Multiply $4$ by $- 1$ .

$- 4 x^{2} - (3 x - 18 x^{2} - 4 x) - (- 10 x)$

Step 2.2

Subtract $4 x$ from $3 x$ .

$- 4 x^{2} - (- 18 x^{2} - x) - (- 10 x)$

Step 2.3

Apply the distributive property.

$- 4 x^{2} - (- 18 x^{2}) - - x - (- 10 x)$

Step 2.4

Multiply $- 18$ by $- 1$ .

$- 4 x^{2} + 18 x^{2} - - x - (- 10 x)$

Step 2.5

Multiply $- - x$ .

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Step 2.5.1

Multiply $- 1$ by $- 1$ .

$- 4 x^{2} + 18 x^{2} + 1 x - (- 10 x)$

Step 2.5.2

Multiply $x$ by $1$ .

$- 4 x^{2} + 18 x^{2} + x - (- 10 x)$

Step 2.6

Multiply $- 10$ by $- 1$ .

$- 4 x^{2} + 18 x^{2} + x + 10 x$

Step 3

Simplify by adding terms.

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Step 3.1

Add $- 4 x^{2}$ and $18 x^{2}$ .

$14 x^{2} + x + 10 x$

Step 3.2

Add $x$ and $10 x$ .

$14 x^{2} + 11 x$