因式分解 (1-x^2)^2

解答

因式分解

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

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

求解步骤

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

因式分解

1 - x^{2} : (1 + x) (1 - x)

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

使用指数法则:

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

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

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

2 (2) - 5 y = 10

s im pl i f y \frac{4 x ^{8} y ^{3}}{4 x ^{6} y ^{6}}

8 (x + 2) = 2 x + 16

\frac{y + 1}{4} - (y - 1) = 2

s im pl i f y \frac{5 + 1}{2}