What is expand (15x^2+24x-25)/((5x+4)^2) ?

The solution to expand (15x^2+24x-25)/((5x+4)^2) is (15x^2+24x-25)/(25x^2+40x+16)

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expand (15x^2+24x-25)/((5x+4)^2)

expand

\frac{15 x ^{2} + 24 x - 25}{( 5 x + 4 ) ^{2}}

\frac{15 x ^{2} + 24 x - 25}{25 x ^{2} + 40 x + 16}

Solution steps

\frac{15 x ^{2} + 24 x - 25}{( 5 x + 4 ) ^{2}}

(5 x + 4)^{2} = 25 x^{2} + 40 x + 16

= \frac{15 x ^{2} + 24 x - 25}{25 x ^{2} + 40 x + 16}

\frac{( x + 6 ) ( x + 2 )}{( x - 3 ) ( x - 2 )}

4 (e^{3 x + 1} + \frac{7}{x}) + ln (3 (e^{3 x + 1} + \frac{7}{x}) + 2)

\frac{( 1 + 2 x )}{( 3 x - 1 ) ^{3}}

\frac{22 ( 29 x - 144 )}{3}

5 (x + d x)^{4}

What is expand (15x^2+24x-25)/((5x+4)^2) ?
The solution to expand (15x^2+24x-25)/((5x+4)^2) is (15x^2+24x-25)/(25x^2+40x+16)