Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Multiply $2$ by $- 1$ .

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

Step 1.3

Multiply $- 3$ by $- 1$ .

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

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

Step 2

Simplify by adding terms.

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Step 2.1

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

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

Step 2.2

Add $x$ and $3 x$ .

$- x^{2} + 4 x$

$- x^{2} + 4 x$

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