展开 (40(x^2+10x+100))/(x(x+1)(x+100))

解答

展开

\frac{40 ( x ^{2} + 10 x + 100 )}{x ( x + 1 ) ( x + 100 )}

\frac{40 x ^{2} + 400 x + 4000}{x ^{3} + 101 x ^{2} + 100 x}

求解步骤

\frac{40 ( x ^{2} + 10 x + 100 )}{x ( x + 1 ) ( x + 100 )}

乘开

x (x + 1) (x + 100) : x^{3} + 101 x^{2} + 100 x

= \frac{40 ( x ^{2} + 10 x + 100 )}{x ^{3} + 101 x ^{2} + 100 x}

乘开

40 (x^{2} + 10 x + 100) : 40 x^{2} + 400 x + 4000

= \frac{40 x ^{2} + 400 x + 4000}{x ^{3} + 101 x ^{2} + 100 x}

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

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

e x p an d \frac{15 π ( - 17 + 5 )}{4}

\frac{\partial}{\partial x} ((z) (x^{3} z^{2} - 5 x y^{5} z - x^{2} - y^{3}))

e x p an d x^{2} (x + 3) y^{''} (x) - 4 (x + 3) y^{'} (x) - 9 x y