Simplify -4w^3+6w^2-9÷w-3

$- 4 w^{3} + 6 w^{2} - 9 \div w - 3$

Find the common denominator.

Tap for more steps…

Write $- 4 w^{3}$ as a fraction with denominator $1$ .

$\frac{- 4 w^{3}}{1} + 6 w^{2} - 9 \div w - 3$

Multiply $\frac{- 4 w^{3}}{1}$ by $\frac{w}{w}$ .

$\frac{- 4 w^{3}}{1} \cdot \frac{w}{w} + 6 w^{2} - 9 \div w - 3$

Multiply $\frac{- 4 w^{3}}{1}$ and $\frac{w}{w}$ .

$\frac{- 4 w^{3} w}{w} + 6 w^{2} - 9 \div w - 3$

Write $6 w^{2}$ as a fraction with denominator $1$ .

$\frac{- 4 w^{3} w}{w} + \frac{6 w^{2}}{1} - 9 \div w - 3$

Multiply $\frac{6 w^{2}}{1}$ by $\frac{w}{w}$ .

$\frac{- 4 w^{3} w}{w} + \frac{6 w^{2}}{1} \cdot \frac{w}{w} - 9 \div w - 3$

Multiply $\frac{6 w^{2}}{1}$ and $\frac{w}{w}$ .

$\frac{- 4 w^{3} w}{w} + \frac{6 w^{2} w}{w} - 9 \div w - 3$

Write $- 3$ as a fraction with denominator $1$ .

$\frac{- 4 w^{3} w}{w} + \frac{6 w^{2} w}{w} - 9 \div w + \frac{- 3}{1}$

Multiply $\frac{- 3}{1}$ by $\frac{w}{w}$ .

$\frac{- 4 w^{3} w}{w} + \frac{6 w^{2} w}{w} - 9 \div w + \frac{- 3}{1} \cdot \frac{w}{w}$

Multiply $\frac{- 3}{1}$ and $\frac{w}{w}$ .

$\frac{- 4 w^{3} w}{w} + \frac{6 w^{2} w}{w} - 9 \div w + \frac{- 3 w}{w}$

Combine the numerators over the common denominator.

$\frac{- 4 w^{3} w + 6 w^{2} w - 9 - 3 w}{w}$

Simplify the numerator.

Tap for more steps…

Multiply $w^{3}$ by $w$ by adding the exponents.

Tap for more steps…

Move $w$ .

$\frac{- 4 (w \cdot w^{3}) + 6 w^{2} w - 9 - 3 w}{w}$

Multiply $w$ by $w^{3}$ .

Tap for more steps…

Raise $w$ to the power of $1$ .

$\frac{- 4 (w^{1} w^{3}) + 6 w^{2} w - 9 - 3 w}{w}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{- 4 w^{1 + 3} + 6 w^{2} w - 9 - 3 w}{w}$

Add $1$ and $3$ .

$\frac{- 4 w^{4} + 6 w^{2} w - 9 - 3 w}{w}$

Multiply $w^{2}$ by $w$ by adding the exponents.

Tap for more steps…

Move $w$ .

$\frac{- 4 w^{4} + 6 (w \cdot w^{2}) - 9 - 3 w}{w}$

Multiply $w$ by $w^{2}$ .

Tap for more steps…

Raise $w$ to the power of $1$ .

$\frac{- 4 w^{4} + 6 (w^{1} w^{2}) - 9 - 3 w}{w}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{- 4 w^{4} + 6 w^{1 + 2} - 9 - 3 w}{w}$

Add $1$ and $2$ .

$\frac{- 4 w^{4} + 6 w^{3} - 9 - 3 w}{w}$

Reorder terms.

$\frac{- 4 w^{4} + 6 w^{3} - 3 w - 9}{w}$

Simplify with factoring out.

Tap for more steps…

Factor $- 1$ out of $- 4 w^{4}$ .

$\frac{- (4 w^{4}) + 6 w^{3} - 3 w - 9}{w}$

Factor $- 1$ out of $6 w^{3}$ .

$\frac{- (4 w^{4}) - (- 6 w^{3}) - 3 w - 9}{w}$

Factor $- 1$ out of $- (4 w^{4}) - (- 6 w^{3})$ .

$\frac{- (4 w^{4} - 6 w^{3}) - 3 w - 9}{w}$

Factor $- 1$ out of $- 3 w$ .

$\frac{- (4 w^{4} - 6 w^{3}) - (3 w) - 9}{w}$

Factor $- 1$ out of $- (4 w^{4} - 6 w^{3}) - (3 w)$ .

$\frac{- (4 w^{4} - 6 w^{3} + 3 w) - 9}{w}$

Rewrite $- 9$ as $- 1 (9)$ .

$\frac{- (4 w^{4} - 6 w^{3} + 3 w) - 1 (9)}{w}$

Factor $- 1$ out of $- (4 w^{4} - 6 w^{3} + 3 w) - 1 (9)$ .

$\frac{- (4 w^{4} - 6 w^{3} + 3 w + 9)}{w}$

Simplify the expression.

Tap for more steps…

Rewrite $- (4 w^{4} - 6 w^{3} + 3 w + 9)$ as $- 1 (4 w^{4} - 6 w^{3} + 3 w + 9)$ .

$\frac{- 1 (4 w^{4} - 6 w^{3} + 3 w + 9)}{w}$

Move the negative in front of the fraction.

$- \frac{4 w^{4} - 6 w^{3} + 3 w + 9}{w}$

Simplify -4w^3+6w^2-9÷w-3

Meet the Team our Math Expers

Our Professionals

Robert Kristofer

Anna Frok

Magnus Flores

Lydia Fran

We are MathExperts

We can solve all your math problems