化简 (x-sqrt(4x+5))*(x+sqrt(4x+5))

解答

化简

(x - 4 x + 5) \cdot (x + 4 x + 5)

x^{2} - 4 x - 5

求解步骤

(x - 4 x + 5) (x + 4 x + 5)

Apply Difference of Two Squares

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

= x^{2} - 4 x - 5

e x p an d (e^{x} + e^{- x}) \cdot (e^{x} - e^{- x})

e x p an d \frac{s ^{5} + 4 s ^{4} - s ^{3} + 2 s - 1}{( s - 4 ) ^{4} ( s ^{2} + 2 s + 3 )}

s im pl i f y e^{- i \cdot (\frac{π}{2} - x)}

e x p an d (1 - sin (θ))^{2} + (cos (θ))^{2}

s im pl i f y (s - \frac{5}{3} + 2 k) (s + \frac{5}{3} + j)