Basic Math Examples

$(4 g + 3) (p^{3} - 2 g^{2 - 4})$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Subtract $4$ from $2$ .

$(4 g + 3) (p^{3} - 2 g^{- 2})$

Step 1.2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$(4 g + 3) (p^{3} - 2 \frac{1}{g^{2}})$

Step 1.3

Combine $- 2$ and $\frac{1}{g^{2}}$ .

$(4 g + 3) (p^{3} + \frac{- 2}{g^{2}})$

Step 1.4

Move the negative in front of the fraction.

$(4 g + 3) (p^{3} - \frac{2}{g^{2}})$

Step 2

Expand $(4 g + 3) (p^{3} - \frac{2}{g^{2}})$ using the FOIL Method.

Tap for more steps...

Step 2.1

Apply the distributive property.

$4 g (p^{3} - \frac{2}{g^{2}}) + 3 (p^{3} - \frac{2}{g^{2}})$

Step 2.2

Apply the distributive property.

$4 g p^{3} + 4 g (- \frac{2}{g^{2}}) + 3 (p^{3} - \frac{2}{g^{2}})$

Step 2.3

Apply the distributive property.

$4 g p^{3} + 4 g (- \frac{2}{g^{2}}) + 3 p^{3} + 3 (- \frac{2}{g^{2}})$

Step 3

Simplify terms.

Tap for more steps...

Step 3.1

Simplify each term.

Tap for more steps...

Step 3.1.1

Cancel the common factor of $g$ .

Tap for more steps...

Step 3.1.1.1

Move the leading negative in $- \frac{2}{g^{2}}$ into the numerator.

$4 g p^{3} + 4 g \frac{- 2}{g^{2}} + 3 p^{3} + 3 (- \frac{2}{g^{2}})$

Step 3.1.1.2

Factor $g$ out of $4 g$ .

$4 g p^{3} + g \cdot 4 \frac{- 2}{g^{2}} + 3 p^{3} + 3 (- \frac{2}{g^{2}})$

Step 3.1.1.3

Factor $g$ out of $g^{2}$ .

$4 g p^{3} + g \cdot 4 \frac{- 2}{g \cdot g} + 3 p^{3} + 3 (- \frac{2}{g^{2}})$

Step 3.1.1.4

Cancel the common factor.

$4 g p^{3} + g \cdot 4 \frac{- 2}{g \cdot g} + 3 p^{3} + 3 (- \frac{2}{g^{2}})$

Step 3.1.1.5

Rewrite the expression.

$4 g p^{3} + 4 \frac{- 2}{g} + 3 p^{3} + 3 (- \frac{2}{g^{2}})$

Step 3.1.2

Combine $4$ and $\frac{- 2}{g}$ .

$4 g p^{3} + \frac{4 \cdot - 2}{g} + 3 p^{3} + 3 (- \frac{2}{g^{2}})$

Step 3.1.3

Multiply $4$ by $- 2$ .

$4 g p^{3} + \frac{- 8}{g} + 3 p^{3} + 3 (- \frac{2}{g^{2}})$

Step 3.1.4

Move the negative in front of the fraction.

$4 g p^{3} - \frac{8}{g} + 3 p^{3} + 3 (- \frac{2}{g^{2}})$

Step 3.1.5

Multiply $3 (- \frac{2}{g^{2}})$ .

Tap for more steps...

Step 3.1.5.1

Multiply $- 1$ by $3$ .

$4 g p^{3} - \frac{8}{g} + 3 p^{3} - 3 \frac{2}{g^{2}}$

Step 3.1.5.2

Combine $- 3$ and $\frac{2}{g^{2}}$ .

$4 g p^{3} - \frac{8}{g} + 3 p^{3} + \frac{- 3 \cdot 2}{g^{2}}$

Step 3.1.5.3

Multiply $- 3$ by $2$ .

$4 g p^{3} - \frac{8}{g} + 3 p^{3} + \frac{- 6}{g^{2}}$

Step 3.1.6

Move the negative in front of the fraction.

$4 g p^{3} - \frac{8}{g} + 3 p^{3} - \frac{6}{g^{2}}$

Step 3.2

Move $- \frac{8}{g}$ .

$4 g p^{3} + 3 p^{3} - \frac{8}{g} - \frac{6}{g^{2}}$