化简 ((x^3)/2+4x^2-(7x)/9)(2x+5)

解答

化简

(\frac{x ^{3}}{2} + 4 x^{2} - \frac{7 x}{9}) (2 x + 5)

\frac{( 72 x ^{2} + 9 x ^{3} - 14 x ) ( 2 x + 5 )}{18}

求解步骤

(\frac{x ^{3}}{2} + 4 x^{2} - \frac{7 x}{9}) (2 x + 5)

化简

\frac{x ^{3}}{2} + 4 x^{2} - \frac{7 x}{9} : \frac{72 x ^{2} + 9 x ^{3} - 14 x}{18}

= \frac{72 x ^{2} + 9 x ^{3} - 14 x}{18} (2 x + 5)

使用分式法则:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( 72 x ^{2} + 9 x ^{3} - 14 x ) ( 2 x + 5 )}{18}

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

e x p an d \frac{cot ( x )}{sec ( x )}

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

e x p an d \frac{k}{s ^{2} ( s + a )}

e x p an d (f \circ g) (3 x + 5) (3 x^{2} + 7)