化简 (sqrt(2x)-y)^2

解答

化简

(2 x - y)^{2}

2 x - 22 y x + y^{2}

求解步骤

(2 x - y)^{2}

使用完全平方公式:

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

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

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

(2 x)^{2} = 2 x

- 2 2 x y = - 2 y 2 x

= 2 x - 2 y 2 x + y^{2}

使用根式运算法则:

n ab = n a n b,

假定

a \geq 0, b \geq 0

= 2 x - 22 y x + y^{2}

f a c t or x^{2} y^{2} - x^{2} - 1 + y^{2}

f a c t or x^{2} y^{2} + x^{2} - y^{2} - 1

e x p an d (2 x - 8)^{3}

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

f (x) = \frac{( x + 1 + 1 - x )}{x}