What is expand 1/((1+t^2)(1+r^2)) ?

The solution to expand 1/((1+t^2)(1+r^2)) is 1/(1+r^2+t^2+t^2r^2)

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expand 1/((1+t^2)(1+r^2))

expand

\frac{1}{( 1 + t ^{2} ) ( 1 + r ^{2} )}

\frac{1}{1 + r ^{2} + t ^{2} + t ^{2} r ^{2}}

Solution steps

\frac{1}{( 1 + t ^{2} ) ( 1 + r ^{2} )}

Expand

(1 + t^{2}) (1 + r^{2}) : 1 + r^{2} + t^{2} + t^{2} r^{2}

= \frac{1}{1 + r ^{2} + t ^{2} + t ^{2} r ^{2}}

2 (sin^{4} (θ) + cos^{4} (θ)) + 4 sin^{2} (θ) cos^{2} (θ)

(a + x) a - x

(sin (x) - cos (x)) sin (x)

\frac{( x + 3 ) ( x + 5 )}{x + 2}

What is expand 1/((1+t^2)(1+r^2)) ?
The solution to expand 1/((1+t^2)(1+r^2)) is 1/(1+r^2+t^2+t^2r^2)