What is (7x^7+5x^2)/(5x) ?

The solution to (7x^7+5x^2)/(5x) is (x(7x^5+5))/5

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simplify (7x^7+5x^2)/(5x)

simplify

\frac{7 x ^{7} + 5 x ^{2}}{5 x}

\frac{x ( 7 x ^{5} + 5 )}{5}

Solution steps

\frac{7 x ^{7} + 5 x ^{2}}{5 x}

Factor

7 x^{7} + 5 x^{2} : x^{2} (7 x^{5} + 5)

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

Apply exponent rule:

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

x^{2} = xx

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

Cancel the common factor:

x

= \frac{x ( 7 x ^{5} + 5 )}{5}

2 b + 6 c + 2 a

10 + 512 x^{6}

\frac{( 2 x + y + 4 )}{2}

(a + b + c)^{5} - a^{5} - b^{5} - c^{5}

\frac{3 a}{a}