Pre-Algebra Examples

$(3 F - F^{2} + F G) - (F - 3 F^{2} - 2 F G)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 F - F^{2} + F G - F - (- 3 F^{2}) - (- 2 F G)$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 3$ by $- 1$ .

$3 F - F^{2} + F G - F + 3 F^{2} - (- 2 F G)$

Step 1.2.2

Multiply $- 2$ by $- 1$ .

$3 F - F^{2} + F G - F + 3 F^{2} + 2 (F G)$

$3 F - F^{2} + F G - F + 3 F^{2} + 2 F G$

$3 F - F^{2} + F G - F + 3 F^{2} + 2 F G$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $F$ from $3 F$ .

$2 F - F^{2} + F G + 3 F^{2} + 2 F G$

Step 2.2

Add $- F^{2}$ and $3 F^{2}$ .

$2 F + 2 F^{2} + F G + 2 F G$

Step 2.3

Add $F G$ and $2 F G$ .

$2 F + 2 F^{2} + 3 F G$

Step 2.4

Simplify the expression.

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Step 2.4.1

Move $2 F$ .

$2 F^{2} + 3 F G + 2 F$

Step 2.4.2

Reorder $2 F^{2}$ and $3 F G$ .

$3 F G + 2 F^{2} + 2 F$

$3 F G + 2 F^{2} + 2 F$

$3 F G + 2 F^{2} + 2 F$

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