What is (4y+5z)/(16y^2-25z^2) ?

The solution to (4y+5z)/(16y^2-25z^2) is 1/(4y-5z)

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simplify (4y+5z)/(16y^2-25z^2)

simplify

\frac{4 y + 5 z}{16 y ^{2} - 25 z ^{2}}

\frac{1}{4 y - 5 z}

Solution steps

\frac{4 y + 5 z}{16 y ^{2} - 25 z ^{2}}

Factor

16 y^{2} - 25 z^{2} : (4 y + 5 z) (4 y - 5 z)

= \frac{4 y + 5 z}{( 4 y + 5 z ) ( 4 y - 5 z )}

Cancel the common factor:

4 y + 5 z

= \frac{1}{4 y - 5 z}

216 x^{3} + 27

(23 + 1)^{2}

\frac{x}{x - 1} - \frac{1}{x + 1}

(3 x + 2 y - 4) + (2 x - 3 y + 9) + (4 x + 5 y + 1)

\frac{310}{180}

What is (4y+5z)/(16y^2-25z^2) ?
The solution to (4y+5z)/(16y^2-25z^2) is 1/(4y-5z)