因式分解 1-4x^2y^2

解答

因式分解

1 - 4 x^{2} y^{2}

(1 + 2 x y) (1 - 2 x y)

求解步骤

1 - 4 x^{2} y^{2}

1 = 1^{2}

4 x^{2} y^{2} = (2 x y)^{2}

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

使用平方差公式:

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

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

= (1 + 2 x y) (1 - 2 x y)

s im pl i f y 27 (x + y)^{3} - 8 (x - y)^{3}

s im pl i f y (x^{2} \cdot y^{2} \cdot z^{2})^{5}

s im pl i f y (x + 5)^{2} - (x - 5)^{2} - (x^{2} + 7 x - 14)

s im pl i f y \frac{( 4 b ^{0.6} )}{2}

s im pl i f y \frac{x ^{3} + 2 x ^{2} + 5 x + 10}{x ^{2} + 4 x + 4}