异分母分式混合运算1.x-y+y^2/(x+y) 2.2/(a+1) -(a-2)/(a^2 -1) 3.(x^2-16y^2)/8x^2y^3 *(4x^2y^2)/(x+4y)4.(x-1)/(x^2+x) ÷(x+1)/(x^3+2x^2+x)

异分母分式混合运算1.x-y+y^2/(x+y) 2.2/(a+1) -(a-2)/(a^2 -1) 3.(x^2-16y^2)/8x^2y^3 *(4x^2y^2)/(x+4y)4.(x-1)/(x^2+x) ÷(x+1)/(x^3+2x^2+x)
异分母分式混合运算
1.x-y+y^2/(x+y) 2.2/(a+1) -(a-2)/(a^2 -1)
3.(x^2-16y^2)/8x^2y^3 *(4x^2y^2)/(x+4y)
4.(x-1)/(x^2+x) ÷(x+1)/(x^3+2x^2+x)

异分母分式混合运算1.x-y+y^2/(x+y) 2.2/(a+1) -(a-2)/(a^2 -1) 3.(x^2-16y^2)/8x^2y^3 *(4x^2y^2)/(x+4y)4.(x-1)/(x^2+x) ÷(x+1)/(x^3+2x^2+x)
1) x-y+y^2/(x+y)=(x-y)(x+y)/(x+y)+y^2/(x+y)
=(x²-y²+y²)/(x+y)=x²/(x+y)
2.2/(a+1) -(a-2)/(a^2 -1)=2(a-1)/(a-1)(a+1)-(a-2)/(a^2 -1)
=(2a-2-a+2)/(a-1)(a+1) =a/(a-1)(a+1)
3.(x^2-16y^2)/8x^2y^3 *(4x^2y^2)/(x+4y)
=(x+4y)(x-4y)/8x²y³ *(4x²y²)/(x+4y)
=(x-4y)/2x
4.(x-1)/(x^2+x) ÷(x+1)/(x^3+2x^2+x)
=(x-1)/(x^2+x) *x(x+1)²/(x+1)=
=(x-1)/x(x+1) *x(x+1)²/(x+1)=x-1