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

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

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

simplify

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

\frac{3 x + 5 y}{x}

Solution steps

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

Factor

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

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

Cancel the common factor:

3 x - 5 y

= \frac{3 x + 5 y}{x}

\frac{2}{3} - \frac{2}{1}

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

\frac{14}{1 4 ^{\frac{1}{8}}}

(3 x - 6) (2 x^{2} - 7 x + 1)

lo g_{2} (7) + lo g_{2} (4)

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