What is expand (9x(2x+5))/((5x-2)^2) ?

The solution to expand (9x(2x+5))/((5x-2)^2) is (18x^2+45x)/(25x^2-20x+4)

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expand (9x(2x+5))/((5x-2)^2)

expand

\frac{9 x ( 2 x + 5 )}{( 5 x - 2 ) ^{2}}

\frac{18 x ^{2} + 45 x}{25 x ^{2} - 20 x + 4}

Solution steps

\frac{9 x ( 2 x + 5 )}{( 5 x - 2 ) ^{2}}

(5 x - 2)^{2} = 25 x^{2} - 20 x + 4

= \frac{9 x ( 2 x + 5 )}{25 x ^{2} - 20 x + 4}

Expand

9 x (2 x + 5) : 18 x^{2} + 45 x

= \frac{18 x ^{2} + 45 x}{25 x ^{2} - 20 x + 4}

\frac{( n - 1 ) ( n - 2 )}{2}

\frac{4 n}{( 2 + 2 i ) ^{2}}

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

\frac{x ^{4}}{( x ^{2} - 1 ) ( x + 2 )}

\frac{( x + yz ) ^{2}}{4}

What is expand (9x(2x+5))/((5x-2)^2) ?
The solution to expand (9x(2x+5))/((5x-2)^2) is (18x^2+45x)/(25x^2-20x+4)