Algebra Examples

$5 x^{3} + 3 x^{2} - (- x - 6 x^{2}) + 4 x - x^{2}$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$5 x^{3} + 3 x^{2} - - x - (- 6 x^{2}) + 4 x - x^{2}$

Step 1.2

Multiply $- - x$ .

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Step 1.2.1

Multiply $- 1$ by $- 1$ .

$5 x^{3} + 3 x^{2} + 1 x - (- 6 x^{2}) + 4 x - x^{2}$

Step 1.2.2

Multiply $x$ by $1$ .

$5 x^{3} + 3 x^{2} + x - (- 6 x^{2}) + 4 x - x^{2}$

Step 1.3

Multiply $- 6$ by $- 1$ .

$5 x^{3} + 3 x^{2} + x + 6 x^{2} + 4 x - x^{2}$

Step 2

Simplify by adding terms.

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Step 2.1

Add $3 x^{2}$ and $6 x^{2}$ .

$5 x^{3} + 9 x^{2} + x + 4 x - x^{2}$

Step 2.2

Subtract $x^{2}$ from $9 x^{2}$ .

$5 x^{3} + 8 x^{2} + x + 4 x$

Step 2.3

Add $x$ and $4 x$ .

$5 x^{3} + 8 x^{2} + 5 x$