化简 (x-1-sqrt(3))(x+sqrt(3)-1)

解答

化简

(x - 1 - 3) (x + 3 - 1)

x^{2} - 2 x - 2

求解步骤

(x - 1 - 3) (x + 3 - 1)

打开括号

= xx + x 3 + x (- 1) - 1 \cdot x - 1 \cdot 3 - 1 \cdot (- 1) - 3 x - 33 - 3 (- 1)

化简

xx + x 3 + x (- 1) - 1 \cdot x - 1 \cdot 3 - 1 \cdot (- 1) - 3 x - 33 - 3 (- 1) : x^{2} - 2 x - 2

= x^{2} - 2 x - 2

e x p an d \frac{x ^{3} ( 20 + 1.25 x ) ^{3}}{20 + 2.5 x}

e x p an d (6 x y - 2 cos (y)) (6 x + 2 sin (y))

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

e x p an d (9 x^{2} - 6 x + 3)^{6}

e x p an d \frac{- 2 x ^{2} - 20 x + 20}{( x ^{2} + 10 ) ^{2}}