What is (9x^2-25y^2)/(3x+5y) ?

The solution to (9x^2-25y^2)/(3x+5y) is 3x-5y

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simplify (9x^2-25y^2)/(3x+5y)

simplify

\frac{9 x ^{2} - 25 y ^{2}}{3 x + 5 y}

3 x - 5 y

Solution steps

\frac{9 x ^{2} - 25 y ^{2}}{3 x + 5 y}

Factor

9 x^{2} - 25 y^{2} : (3 x + 5 y) (3 x - 5 y)

= \frac{( 3 x + 5 y ) ( 3 x - 5 y )}{3 x + 5 y}

Cancel the common factor:

3 x + 5 y

= 3 x - 5 y

(2 k + 1)^{3}

(4 x^{2} - 2 y^{3})^{4}

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

\frac{81}{4}

(5^{3})^{6}