What is (26x^{10}-4x^{17})/(14x^{14)+20} ?

The solution to (26x^{10}-4x^{17})/(14x^{14)+20} is (x^{10}(13-2x^7))/(7x^{14)+10}

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simplify (26x^{10}-4x^{17})/(14x^{14)+20}

simplify

\frac{26 x ^{10} - 4 x ^{17}}{14 x ^{14} + 20}

\frac{x ^{10} ( 13 - 2 x ^{7} )}{7 x ^{14} + 10}

Solution steps

\frac{26 x ^{10} - 4 x ^{17}}{14 x ^{14} + 20}

Factor

26 x^{10} - 4 x^{17} : 2 x^{10} (13 - 2 x^{7})

= \frac{2 x ^{10} ( 13 - 2 x ^{7} )}{14 x ^{14} + 20}

Factor

14 x^{14} + 20 : 2 (7 x^{14} + 10)

= \frac{2 x ^{10} ( 13 - 2 x ^{7} )}{2 ( 7 x ^{14} + 10 )}

Cancel the common factor:

2

= \frac{x ^{10} ( 13 - 2 x ^{7} )}{7 x ^{14} + 10}

n^{3} - n - 990

(\frac{3}{4} x^{2} y^{2} + \frac{5}{2} a^{2})^{2}

\frac{( ( n - 2 ) ! ( n + 2 ) ! )}{( ( n + 3 ) ! ( n - 1 ) ! )}

\frac{2 sin ^{2} ( x )}{sin ^{2} ( x ) + 2 cos ^{2} ( x )}

3 n + 3

What is (26x^{10}-4x^{17})/(14x^{14)+20} ?
The solution to (26x^{10}-4x^{17})/(14x^{14)+20} is (x^{10}(13-2x^7))/(7x^{14)+10}