展开 ((x^2+15))/((x+5)^2(x^2+5))

解答

展开

\frac{( x ^{2} + 15 )}{( x + 5 ) ^{2} ( x ^{2} + 5 )}

\frac{x ^{2} + 15}{x ^{4} + 30 x ^{2} + 10 x ^{3} + 50 x + 125}

求解步骤

\frac{x ^{2} + 15}{( x + 5 ) ^{2} ( x ^{2} + 5 )}

(x + 5)^{2} = x^{2} + 10 x + 25

= \frac{x ^{2} + 15}{( x ^{2} + 10 x + 25 ) ( x ^{2} + 5 )}

乘开

(x^{2} + 10 x + 25) (x^{2} + 5) : x^{4} + 30 x^{2} + 10 x^{3} + 50 x + 125

= \frac{x ^{2} + 15}{x ^{4} + 30 x ^{2} + 10 x ^{3} + 50 x + 125}

s im pl i f y (2 + 2 i)^{7}

e x p an d - \frac{3 x ( x - 8 )}{8}

e x p an d - \frac{4 x}{( x ^{2} + 3 ) ^{2}}

e x p an d \frac{s}{( s ^{2} + 1 ) ( s - 4 )}

e x p an d (10 x^{2} + 2 x) e^{10 x}