因式分解 x^2-0.0001y^4

解答

因式分解

x^{2} - 0.0001 y^{4}

(x + 0.01 y^{2}) (x - 0.01 y^{2})

求解步骤

x^{2} - 0.0001 y^{4}

将

x^{2} - 0.0001 y^{4}

改写为

x^{2} - (0.0001 y^{2})^{2}

= x^{2} - (0.0001 y^{2})^{2}

使用平方差公式:

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

x^{2} - (0.0001 y^{2})^{2} = (x + 0.0001 y^{2}) (x - 0.0001 y^{2})

= (x + 0.0001 y^{2}) (x - 0.0001 y^{2})

0.0001 = 0.01

= (x + 0.01 y^{2}) (x - 0.01 y^{2})

f (a) = - (a)^{3}

f a c t or m^{9} n^{15} + p^{3}

f a c t or e^{2 t} u (- t)

f a c t or am + 2 bm - 3 c m + 12 c n - 4 an - 8 bn

f a c t or 4 (x - y)^{2} - 12 (x - y) + 9