化简 ((5x^4-3x^3+2x^2-7x+3))/((x-1))

解答

化简

\frac{( 5 x ^{4} - 3 x ^{3} + 2 x ^{2} - 7 x + 3 )}{( x - 1 )}

5 x^{3} + 2 x^{2} + 4 x - 3

求解步骤

\frac{5 x ^{4} - 3 x ^{3} + 2 x ^{2} - 7 x + 3}{x - 1}

因式分解

5 x^{4} - 3 x^{3} + 2 x^{2} - 7 x + 3 : (x - 1) (5 x^{3} + 2 x^{2} + 4 x - 3)

= \frac{( x - 1 ) ( 5 x ^{3} + 2 x ^{2} + 4 x - 3 )}{x - 1}

约分:

x - 1

= 5 x^{3} + 2 x^{2} + 4 x - 3

s im pl i f y arctan (\frac{( 2 a ^{x} )}{( 1 - a ^{2 x} )})

s im pl i f y l (sin^{2} (2 x))

f a c t or a^{4} b^{3} + a^{3} b^{4}

s im pl i f y \frac{1}{tan ( x ) sec ^{2} ( x )}

e x p an d (1 + y)^{3}