计算 ( x-2y )^4 ÷ ( 2y-x )^ 2 ÷ ( x-2y )
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计算(x-2y)^4÷(2y-x)^2÷(x-2y)计算(x-2y)^4÷(2y-x)^2÷(x-2y)计算(x-2y)^4÷(2y-x)^2÷(x-2y)结果:x-2y代数式子你看不惯,可以这样子:
计算 ( x-2y )^4 ÷ ( 2y-x )^ 2 ÷ ( x-2y )
计算 ( x-2y )^4 ÷ ( 2y-x )^ 2 ÷ ( x-2y )
计算 ( x-2y )^4 ÷ ( 2y-x )^ 2 ÷ ( x-2y )
结果:x-2y
代数式子你看不惯,可以这样子:令m=x-2y,
原式化为:m^4÷(-m)^2÷m=m^4÷m^2÷m=m^2÷m=m
也就是:m^4÷m^2÷m=m^(4-2-1)=m
底相同的指数除法即指数相减,乘法是相加.如x^3*x^6=x^9.
令x-2y=A
=A^4/A^2/A
=A
=x-2y
设x-2y=a
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