展开 (((2x-1)^3(26-6x)))/((4-x)^3)

解答

展开

\frac{( ( 2 x - 1 ) ^{3} ( 26 - 6 x ) )}{( 4 - x ) ^{3}}

\frac{- 48 x ^{4} + 280 x ^{3} - 348 x ^{2} + 162 x - 26}{64 - 48 x + 12 x ^{2} - x ^{3}}

求解步骤

\frac{( 2 x - 1 ) ^{3} ( 26 - 6 x )}{( 4 - x ) ^{3}}

(4 - x)^{3} = 64 - 48 x + 12 x^{2} - x^{3}

= \frac{( 2 x - 1 ) ^{3} ( - 6 x + 26 )}{64 - 48 x + 12 x ^{2} - x ^{3}}

(2 x - 1)^{3} = 8 x^{3} - 12 x^{2} + 6 x - 1

= \frac{( 8 x ^{3} - 12 x ^{2} + 6 x - 1 ) ( - 6 x + 26 )}{64 - 48 x + 12 x ^{2} - x ^{3}}

乘开

(8 x^{3} - 12 x^{2} + 6 x - 1) (26 - 6 x) : - 48 x^{4} + 280 x^{3} - 348 x^{2} + 162 x - 26

= \frac{- 48 x ^{4} + 280 x ^{3} - 348 x ^{2} + 162 x - 26}{64 - 48 x + 12 x ^{2} - x ^{3}}

e x p an d \frac{d}{d x} ((x - 2) (x - 5)^{3}) + 5

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

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

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

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