Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

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Step 1.2.1

Multiply $4$ by $- 1$ .

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

Step 1.2.2

Multiply $- 1$ by $- 5$ .

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

Step 1.2.3

Multiply $3$ by $- 1$ .

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

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

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

Step 2

Simplify by adding terms.

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Step 2.1

Add $3$ and $5$ .

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

Step 2.2

Subtract $4 x$ from $- 2 x$ .

$2 x^{2} - 6 x + 8 - 3 x^{2}$

Step 2.3

Subtract $3 x^{2}$ from $2 x^{2}$ .

$- x^{2} - 6 x + 8$

$- x^{2} - 6 x + 8$

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