因式分解 x^7+y^7

解答

因式分解

x^{7} + y^{7}

(x + y) (x^{6} - x^{5} y + x^{4} y^{2} - x^{3} y^{3} + x^{2} y^{4} - x y^{5} + y^{6})

求解步骤

x^{7} + y^{7}

使用因式分解法则:

x^{n} + y^{n} = (x + y) (x^{n - 1} - x^{n - 2} y + \dots - x y^{n - 2} + y^{n - 1}), n i s o dd

x^{7} + y^{7} = (x + y) (x^{6} - x^{5} y + x^{4} y^{2} - x^{3} y^{3} + x^{2} y^{4} - x y^{5} + y^{6})

= (x + y) (x^{6} - x^{5} y + x^{4} y^{2} - x^{3} y^{3} + x^{2} y^{4} - x y^{5} + y^{6})

s im pl i f y \frac{2 \cdot 0.0 7 ^{2} \cdot 980}{9 \cdot 1 0 ^{- 4} \cdot 1.8}

e x t re m e K (r, s) = 4 r - 7 s

t^{2} = \frac{93.8}{3.75}

f a c t or 4 x^{2} y - 36 y

\frac{3 x}{4} - 1 = \frac{x}{2} + 3