simplify (x^2)/(3x)

Solution

simplify

\frac{x ^{2}}{3 x}

\frac{x}{3}

Solution steps

\frac{x ^{2}}{3 x}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{x ^{2}}{x ^{1}} = x^{2 - 1}

= \frac{x ^{2 - 1}}{3}

Subtract the numbers:

2 - 1 = 1

= \frac{x ^{1}}{3}

Apply exponent rule:

a^{1} = a

x^{1} = x

= \frac{x}{3}

\frac{x - 5}{x ^{4} - 2 x ^{3}} \cdot \frac{x ^{2} - 4}{x ^{2} - 3 x - 10}

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\frac{7 x}{6} - \frac{8 x}{6}

\frac{3}{4 x y} - \frac{5}{4 x y}

(n^{2} + 4) (n^{2} - 7)