What is (x^2-36)/(5x^3+30x^2) ?

The solution to (x^2-36)/(5x^3+30x^2) is (x-6)/(5x^2)

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simplify (x^2-36)/(5x^3+30x^2)

simplify

\frac{x ^{2} - 36}{5 x ^{3} + 30 x ^{2}}

\frac{x - 6}{5 x ^{2}}

Solution steps

\frac{x ^{2} - 36}{5 x ^{3} + 30 x ^{2}}

Factor

x^{2} - 36 : (x + 6) (x - 6)

= \frac{( x + 6 ) ( x - 6 )}{5 x ^{3} + 30 x ^{2}}

Factor

5 x^{3} + 30 x^{2} : 5 x^{2} (x + 6)

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

Cancel the common factor:

x + 6

= \frac{x - 6}{5 x ^{2}}

x^{4} + \frac{1}{x ^{4}}

- 15 \cdot 4

669.5 \cdot \frac{40}{927}

\frac{9}{11}

(2 x + 3 y + 5 z)^{2}

What is (x^2-36)/(5x^3+30x^2) ?
The solution to (x^2-36)/(5x^3+30x^2) is (x-6)/(5x^2)