What is expand ((1+ab)^2)/((1-a^2)(1-b^2)) ?

The solution to expand ((1+ab)^2)/((1-a^2)(1-b^2)) is (1+2ab+a^2b^2)/(1-b^2-a^2+a^2b^2)

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expand ((1+ab)^2)/((1-a^2)(1-b^2))

expand

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

\frac{1 + 2 ab + a ^{2} b ^{2}}{1 - b ^{2} - a ^{2} + a ^{2} b ^{2}}

Solution steps

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

(1 + ab)^{2} = 1 + 2 ab + a^{2} b^{2}

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

Expand

(1 - a^{2}) (1 - b^{2}) : 1 - b^{2} - a^{2} + a^{2} b^{2}

= \frac{1 + 2 ab + a ^{2} b ^{2}}{1 - b ^{2} - a ^{2} + a ^{2} b ^{2}}

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