化简 (2x+5)(x+sqrt(5))(x-sqrt(5))

解答

化简

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

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

求解步骤

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

使用平方差公式:

(a + b) (a - b) = a^{2} - b^{2}

(x + 5) (x - 5) = x^{2} - (5)^{2}

= (2 x + 5) (x^{2} - (5)^{2})

化简

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

= (2 x + 5) (x^{2} - 5)

s im pl i f y (x + 1 + 12 - x)^{2}

s im pl i f y (- 3 + \frac{3}{x ^{5}}) (x^{4} + 5)

e x p an d 9 - x (x^{4} + x^{3} + x^{2} + x + 1)

e x p an d - \frac{( x + r - 1 ) ( x + r + 2 )}{( x + r ) ( - x + r + 4 )}

e x p an d (y + Δ y)^{2}