化简 (2x+1)(2x-1)(x-2-sqrt(5))(x-2+sqrt(5))

解答

化简

(2 x + 1) (2 x - 1) (x - 2 - 5) (x - 2 + 5)

(2 x + 1) (2 x - 1) (x^{2} - 4 x - 1)

求解步骤

(2 x + 1) (2 x - 1) (x - 2 - 5) (x - 2 + 5)

打开括号

= (2 x + 1) (2 x - 1) (xx + x (- 2) + x 5 - 2 x - 2 (- 2) - 25 - 5 x - 5 (- 2) - 55)

化简

xx + x (- 2) + x 5 - 2 x - 2 (- 2) - 25 - 5 x - 5 (- 2) - 55 : x^{2} - 4 x - 1

= (2 x + 1) (2 x - 1) (x^{2} - 4 x - 1)

s im pl i f y (x^{4} + \frac{2}{x ^{2}}) (x^{4} - \frac{2}{x ^{2}})

s im pl i f y (\frac{3 x y ^{2}}{8} - \frac{7 y}{2})^{3}

e x p an d \frac{8 x ^{2} + 8 x + 2}{( 4 x ^{2} + 1 ) ^{2}}

e x p an d (\frac{1}{2} x - \frac{1}{2}) (\frac{1}{2} x - \frac{2}{5})

e x p an d \frac{s}{( s - 4 ) ( s - 5 ) ( s - 20 )}