(2x-3y)^3+(3x-2y)^3-125(x-y)^3
= (2x-3y)^3+(3x-2y)^3-(5x-5y)^3
= (2x-3y)^3+(3x-2y)^3-((2x-3y) +(3x-2y))^3
令m =2x-3y,n =3x-2y
上式
= m^3 +n^3 -(m+n)^3
= m^3 +n^3 -(m^3 +n^3 +3mn^2 +3m^2n)
= -3mn^2 -3m^2n
= -3mn(m+n) .(将假设带入)
= -3(2x-3y)(3x-2y)((2x-3y)+(3x-2y))
= -3(2x-3y)(3x-2y)(5x-5y)
= -15(2x-3y)(3x-2y)(x-y)
(2x-3y)^3 +(3x-2y)^3-125(x-y)^3 这个怎么因式分解
(2x-3y)^3 +(3x-2y)^3-125(x-y)^3 这个怎么因式分解
RT
RT
数学人气:448 ℃时间:2019-08-20 14:53:11
优质解答
我来回答
类似推荐
猜你喜欢
- 1Miss Lee felt very hard that she had failed in the exam.的that引导的是什么
- 2下列句子中均有一处错误,请指出并改正. Mary is very younger than her
- 3只列式不计算 甲数是56,乙数是甲数的1/7,乙数是丙数的1/8,丙数是多少?
- 4英语达人来帮个忙.小短文汉译英.
- 5It take the dog and his blind master about a month learning to work and live together.
- 6一立方米等于多少立方分米三方等于多少立方厘米
- 7酒精含水量不得超过10%丁4瓶样本密度为0.81,0.815,0.82,0.83g/cm,合格产品是?(按质量计算)
- 81 2 3 4 5 6 7 8 9 加标点,如何加才能变成100?
- 9因式分解,3x加x的三次方;7x的三次方减21x的平方;负24x的三次方加12x的平方减28x
- 10化学方程式的意义 2H2O=通电=2H2↑+O2↑为例正确读出此化学方程式