因式分解 1.5u^2v^4-2.5u^3v^5+0.5u^4v^2

解答

因式分解

1.5 u^{2} v^{4} - 2.5 u^{3} v^{5} + 0.5 u^{4} v^{2}

u^{2} v^{2} (1.5 v^{2} - 2.5 u v^{3} + 0.5 u^{2})

求解步骤

1.5 u^{2} v^{4} - 2.5 u^{3} v^{5} + 0.5 u^{4} v^{2}

使用指数法则:

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

u^{2} v^{4} = u^{2} v^{2} v^{2}, u^{3} v^{5} = u^{2} u v^{2} v^{3}, u^{4} v^{2} = u^{2} u^{2} v^{2}

= 1.5 u^{2} v^{2} v^{2} - 2.5 u^{2} u v^{2} v^{3} + 0.5 u^{2} u^{2} v^{2}

因式分解出通项

u^{2} v^{2}

= u^{2} v^{2} (1.5 v^{2} - 2.5 u v^{3} + 0.5 u^{2})

s im pl i f y \frac{5 ^{2}}{5 ^{5}}

s im pl i f y 212 - 375 + 27

f a c t or 32 x^{9} y^{3} - 8 x^{7} y^{5}

x^{2} = - 7

36 x^{2} = 100