What is (6x^2-21x^7)/(3x) ?

The solution to (6x^2-21x^7)/(3x) is x(2-7x^5)

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simplify (6x^2-21x^7)/(3x)

simplify

\frac{6 x ^{2} - 21 x ^{7}}{3 x}

x (2 - 7 x^{5})

Solution steps

\frac{6 x ^{2} - 21 x ^{7}}{3 x}

Factor

6 x^{2} - 21 x^{7} : 3 x^{2} (2 - 7 x^{5})

= \frac{3 x ^{2} ( 2 - 7 x ^{5} )}{3 x}

Cancel the common factor:

3

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

Apply exponent rule:

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

x^{2} = xx

= \frac{xx ( 2 - 7 x ^{5} )}{x}

Cancel the common factor:

x

= x (2 - 7 x^{5})

\frac{5}{7}

h^{4} k^{2} - \frac{1}{4}

(9) (- 81)

2 (2 x + 5)

\frac{54}{16}