因式分解 (xy)^3-z^3

解答

因式分解

(x y)^{3} - z^{3}

(x y - z) (x^{2} y^{2} + x yz + z^{2})

求解步骤

(x y)^{3} - z^{3}

使用立方差公式:

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

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

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

化简

(x y - z) ((x y)^{2} + x yz + z^{2}) : (x y - z) (x^{2} y^{2} + x yz + z^{2})

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

f a c t or 8 x - 14 x - 5 x + 37 a l g e b r a

f a c t or 2 + (y - x)

f a c t or x^{- 8} - y^{8}

f (x) = (sin (2 x))^{3}

s im pl i f y A (9.3) y B