计算:(1)3a/4b乘16b/9a²,(2)12xy/5a÷8x²y,(3)(-3xy)÷2y²/3x,(4)x+y/x-y乘y-x/x+y,(5)3a-3b/10ab乘25a²b³/a²-b²,(6)4y²-x²/x²+2xy+y²÷x-2y/2x²+2xy
问题描述:
计算:(1)3a/4b乘16b/9a²,(2)12xy/5a÷8x²y,(3)(-3xy)÷2y²/3x,(4)x+y/x-y乘y-x/x+y,(5)3a-3b/10ab乘25a²b³/a²-b²,(6)4y²-x²/x²+2xy+y²÷x-2y/2x²+2xy
答
(1)3a/4b乘16b/9a²,
=4/3a
(2)12xy/5a÷8x²y,
=3x/10a
(3)(-3xy)÷2y²/3x,
=-3xy×3x/2y²
=-9x²/y
(4)x+y/x-y乘y-x/x+y,
=-1
(5)3a-3b/10ab乘25a²b³/a²-b²,
=3(a-b)/2×5ab²/(a+b)(a-b)
=15ab²/2(a+b)
(6)4y²-x²/x²+2xy+y²÷x-2y/2x²+2xy
=(2y+x)(2y-x)/(x+y)²×2x(x+y)/(x-2y)
=-(2y+x)·2x/(x+y)
=-2x(x+2y)/(x+y)