因式分解 x^6-4x^3*y+4x

解答

因式分解

x^{6} - 4 x^{3} \cdot y + 4 x

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

求解步骤

x^{6} - 4 x^{3} y + 4 x

使用指数法则:

a^{b + c} = a^{b} a^{c}

x^{6} = x x^{5}, x^{3} y = x x^{2}

= x x^{5} - 4 x x^{2} + 4 x

因式分解出通项

x

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

f a c t or x^{8} + x^{4} - 2

s im pl i f y z^{2} + 2 i z + (2 - 4 i)

e x p an d (2 x + 11)^{3}

e x p an d (0.2 m - 3 n) \cdot x^{0.7} m

e x p an d (4 a^{4} - 2 b^{3})^{3}