Simplify -1/2x^4+5-1/3x^4-2

$- \frac{1}{2} x^{4} + 5 - \frac{1}{3} x^{4} - 2$

Simplify each term.

Combine $x^{4}$ and $\frac{1}{2}$ .

$- \frac{x^{4}}{2} + 5 - \frac{1}{3} x^{4} - 2$

Combine $x^{4}$ and $\frac{1}{3}$ .

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

To write $- \frac{x^{4}}{2}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- \frac{x^{4}}{2} \cdot \frac{3}{3} - \frac{x^{4}}{3} + 5 - 2$

To write $- \frac{x^{4}}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{x^{4}}{2} \cdot \frac{3}{3} - \frac{x^{4}}{3} \cdot \frac{2}{2} + 5 - 2$

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{x^{4}}{2}$ by $\frac{3}{3}$ .

$- \frac{x^{4} \cdot 3}{2 \cdot 3} - \frac{x^{4}}{3} \cdot \frac{2}{2} + 5 - 2$

Multiply $2$ by $3$ .

$- \frac{x^{4} \cdot 3}{6} - \frac{x^{4}}{3} \cdot \frac{2}{2} + 5 - 2$

Multiply $\frac{x^{4}}{3}$ by $\frac{2}{2}$ .

$- \frac{x^{4} \cdot 3}{6} - \frac{x^{4} \cdot 2}{3 \cdot 2} + 5 - 2$

Multiply $3$ by $2$ .

$- \frac{x^{4} \cdot 3}{6} - \frac{x^{4} \cdot 2}{6} + 5 - 2$

Combine the numerators over the common denominator.

$\frac{- x^{4} \cdot 3 - x^{4} \cdot 2}{6} + 5 - 2$

Find the common denominator.

Write $5$ as a fraction with denominator $1$ .

$\frac{- x^{4} \cdot 3 - x^{4} \cdot 2}{6} + \frac{5}{1} - 2$

Multiply $\frac{5}{1}$ by $\frac{6}{6}$ .

$\frac{- x^{4} \cdot 3 - x^{4} \cdot 2}{6} + \frac{5}{1} \cdot \frac{6}{6} - 2$

Multiply $\frac{5}{1}$ by $\frac{6}{6}$ .

$\frac{- x^{4} \cdot 3 - x^{4} \cdot 2}{6} + \frac{5 \cdot 6}{6} - 2$

Write $- 2$ as a fraction with denominator $1$ .

$\frac{- x^{4} \cdot 3 - x^{4} \cdot 2}{6} + \frac{5 \cdot 6}{6} + \frac{- 2}{1}$

Multiply $\frac{- 2}{1}$ by $\frac{6}{6}$ .

$\frac{- x^{4} \cdot 3 - x^{4} \cdot 2}{6} + \frac{5 \cdot 6}{6} + \frac{- 2}{1} \cdot \frac{6}{6}$

Multiply $\frac{- 2}{1}$ by $\frac{6}{6}$ .

$\frac{- x^{4} \cdot 3 - x^{4} \cdot 2}{6} + \frac{5 \cdot 6}{6} + \frac{- 2 \cdot 6}{6}$

Combine the numerators over the common denominator.

$\frac{- x^{4} \cdot 3 - x^{4} \cdot 2 + 5 \cdot 6 - 2 \cdot 6}{6}$

Simplify each term.

Multiply $3$ by $- 1$ .

$\frac{- 3 x^{4} - x^{4} \cdot 2 + 5 \cdot 6 - 2 \cdot 6}{6}$

Multiply $2$ by $- 1$ .

$\frac{- 3 x^{4} - 2 x^{4} + 5 \cdot 6 - 2 \cdot 6}{6}$

Multiply $5$ by $6$ .

$\frac{- 3 x^{4} - 2 x^{4} + 30 - 2 \cdot 6}{6}$

Multiply $- 2$ by $6$ .

$\frac{- 3 x^{4} - 2 x^{4} + 30 - 12}{6}$

Simplify terms.

Subtract $2 x^{4}$ from $- 3 x^{4}$ .

$\frac{- 5 x^{4} + 30 - 12}{6}$

Subtract $12$ from $30$ .

$\frac{- 5 x^{4} + 18}{6}$

Factor $- 1$ out of $- 5 x^{4}$ .

$\frac{- (5 x^{4}) + 18}{6}$

Rewrite $18$ as $- 1 (- 18)$ .

$\frac{- (5 x^{4}) - 1 (- 18)}{6}$

Factor $- 1$ out of $- (5 x^{4}) - 1 (- 18)$ .

$\frac{- (5 x^{4} - 18)}{6}$

Simplify the expression.

Rewrite $- (5 x^{4} - 18)$ as $- 1 (5 x^{4} - 18)$ .

$\frac{- 1 (5 x^{4} - 18)}{6}$

Move the negative in front of the fraction.

$- \frac{5 x^{4} - 18}{6}$

Simplify -1/2x^4+5-1/3x^4-2

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