What is (2x^4-10x^3)/(6x) ?

The solution to (2x^4-10x^3)/(6x) is (x^2(x-5))/3

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simplify (2x^4-10x^3)/(6x)

simplify

\frac{2 x ^{4} - 10 x ^{3}}{6 x}

\frac{x ^{2} ( x - 5 )}{3}

Solution steps

\frac{2 x ^{4} - 10 x ^{3}}{6 x}

Factor

2 x^{4} - 10 x^{3} : 2 x^{3} (x - 5)

= \frac{2 x ^{3} ( x - 5 )}{6 x}

Factor the number:

6 = 2 \cdot 3

= \frac{2 x ^{3} ( x - 5 )}{2 \cdot 3 x}

Cancel the common factor:

2

= \frac{x ^{3} ( x - 5 )}{3 x}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{3} = x x^{2}

= \frac{x x ^{2} ( x - 5 )}{3 x}

Cancel the common factor:

x

= \frac{x ^{2} ( x - 5 )}{3}

(1 - t)^{3}

- 14 + 6

\frac{( x ^{2} - 7 x + 10 )}{( x - 5 )}

\frac{5 m ^{5}}{5 m ^{2}}

lo g_{4} (24)