因式分解 c^3-125

解答

因式分解

c^{3} - 125

(c - 5) (c^{2} + 5 c + 25)

求解步骤

c^{3} - 125

将

125

改写为

5^{3}

= c^{3} - 5^{3}

使用立方差公式:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

c^{3} - 5^{3} = (c - 5) (c^{2} + 5 c + 5^{2})

= (c - 5) (c^{2} + 5 c + 5^{2})

5^{2} = 25

= (c - 5) (c^{2} + 5 c + 25)

x \geq \frac{1}{x}

f a c t or 12 a^{3} b - 20 a^{2} b^{3}

y^{2} + 5 y - 11 = 0

\frac{x - 17}{( x + 12 ) ^{2} ( x - 29 )} \leq 0

f a c t or 4 a^{2} + 4 ab + b^{2}