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

The solution to expand (1-t)/((1-t(1+x))^2) is (1-t)/(-2tx+2t^2x+t^2x^2-2t+t^2+1)

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expand (1-t)/((1-t(1+x))^2)

expand

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

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

Solution steps

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

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

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

Remove parentheses:

(- a) = - a

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

\frac{1}{( 1 + 2 m ) ^{3}}

(2 (y \cdot v) + 4 y) (d y \cdot v + y \cdot d v)

\frac{d}{d x} ((z) (x y + z^{3} x - 2 y z))

2 \cdot (x - 3, y - 4)

(e^{7 x} - e^{- 7 x})^{2}

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