Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 4$ by $- 1$ .

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

Step 1.2.2

Multiply $- 1$ by $- 2$ .

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

Step 1.2.3

Multiply $2$ by $- 1$ .

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

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

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

Step 2

Simplify by adding terms.

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Step 2.1

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

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

Step 2.2

Subtract $2 x$ from $- 3 x$ .

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

Step 2.3

Add $2$ and $2$ .

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

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

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