What is expand ((a+x)/(1-ax))^2 ?

The solution to expand ((a+x)/(1-ax))^2 is (a^2+2ax+x^2)/(1-2ax+a^2x^2)

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expand ((a+x)/(1-ax))^2

expand

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

\frac{a ^{2} + 2 a x + x ^{2}}{1 - 2 a x + a ^{2} x ^{2}}

Solution steps

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

(1 - a x)^{2} = 1 - 2 a x + a^{2} x^{2}

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

(a + x)^{2} = a^{2} + 2 a x + x^{2}

= \frac{a ^{2} + 2 a x + x ^{2}}{1 - 2 a x + a ^{2} x ^{2}}

\frac{z ( 1.1353 z + 0.5941 )}{( z - 1 ) ( z ^{2} + 0.7294 )}

\frac{3}{( x ^{2} + 4 ) \cdot ( x ^{2} + 9 )}

π (2 x + 1)^{2} (6 x)

\frac{3 x - 5}{( x ^{2} + 1 ) ^{2}}

2 (m + n) + 3 + π

What is expand ((a+x)/(1-ax))^2 ?
The solution to expand ((a+x)/(1-ax))^2 is (a^2+2ax+x^2)/(1-2ax+a^2x^2)