展開する (1-n^2x^2)/((1+n^2x^2)^2)

解

展開する

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

\frac{1 - n ^{2} x ^{2}}{1 + 2 n ^{2} x ^{2} + n ^{4} x ^{4}}

解答ステップ

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

(1 + n^{2} x^{2})^{2} = 1 + 2 n^{2} x^{2} + n^{4} x^{4}

= \frac{1 - n ^{2} x ^{2}}{1 + 2 n ^{2} x ^{2} + n ^{4} x ^{4}}

e x p an d \frac{x ( x - 4 )}{( x + 6 ) ( x - 2 )}

e x p an d \frac{d x}{( x - 3 ) ^{3}}

e x p an d - \frac{2 ( 5 x ^{2} + 52 x - 34 )}{( x + 10 ) ( x + 1 ) ( x - 2 )}

e x p an d (y e^{x y} - 2 y^{3}) d x - (6 x y^{2} + 2 y - x e^{x y}) d y

e x p an d \frac{2 ( 2 s + 1 + 3 s ^{2} )}{s ( 0.5 s ^{2} + s + 3 )}