化简 [xsqrt(1-4x^2)]^2

解答

化简

[x 1 - 4 x^{2}]^{2}

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

求解步骤

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

使用指数法则:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

使用指数法则:

(n a)^{n} = a,

假定

n i s o dd or a \geq 0

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

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

s im pl i f y - 8 (1 - 2 x) - 5 (2 x - 6)

s im pl i f y \frac{3}{( x - 2 )} - \frac{4}{( x - 3 )} + \frac{2}{3}

f a c t or x^{3} - 6 x^{2} + 18 x - 27

s im pl i f y (a^{4} + a^{- 4} + 2)^{\frac{1}{2}}

s im pl i f y (- 1.4) y (4.6)