分式的乘除法 计算 (1)(-b²c/3a)*9a²/2bc² (2)a-b/2a+2b*
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分式的乘除法
计算 (1)(-b²c/3a)*9a²/2bc² (2)a-b/2a+2b*a²+b²/a²-b² (3)(-2z/4x²y)÷z^3/5xy (4)(x+1)²(1-x)²/(x²-1)²÷(x-1)²/x²-1 (5)2m+4/m²-4m+4*(m²-4)*2m-4/m^4-16 (6)n²-m²/mn÷m²-2mn+n²/mn÷m+n/m-n
计算 (1)(-b²c/3a)*9a²/2bc² (2)a-b/2a+2b*a²+b²/a²-b² (3)(-2z/4x²y)÷z^3/5xy (4)(x+1)²(1-x)²/(x²-1)²÷(x-1)²/x²-1 (5)2m+4/m²-4m+4*(m²-4)*2m-4/m^4-16 (6)n²-m²/mn÷m²-2mn+n²/mn÷m+n/m-n
计算如下:
(1)(-b²c/3a)*9a²/2bc²
=(-b²c/1)*(3a/2bc²)
=(-b)*(3a/2c)
= -3ab/2c
(2)(a-b)/(2a+2b)*(a²+b²)/(a²-b²)
=(a-b)/2(a+b)*(a²+b²)/(a+b)(a-b)
=(a-b)/2(a+b)*(a²+b²)/(a+b)(a-b)
=(a²+b²)/2(a+b)²
(3)(-2z/4x²y)÷z^3/5xy
=(-z/2x²y)×5xy/z³
=(-5xy)/2x²yz²
= -5/2xz²
(4)(x+1)²(1-x)²/(x²-1)²÷(x-1)²/x²-1
= (x+1)²(1-x)²/(x²-1)²×(x²-1)/(x-1)²
=(x+1)²(x-1)²/(x+1)²(x-1)²×(x+1)(x-1)/(x-1)²
=1×(x+1)/(x-1)
=(x+1)/(x-1)
(5)(2m+4)/(m²-4m+4)*(m²-4)*(2m-4)/(m^4-16)
=2(m+2)/(m-2)² *(m+2)(m-2) * 2(m-2)/(m²+4)(m²-4)
=4(m+2)²(m-2)²/(m-2)²(m²+4)(m+2)(m-2)
=4(m+2)/(m²+4)(m-2)
(6)(n²-m²)/mn÷(m²-2mn+n²)/mn÷(m+n)/(m-n)
= -(m+n)(m-n)/mn ×mn/(m-n)² ×(m-n)(m+n)
=-(m-n)²/(m-n)²
= -1
(1)(-b²c/3a)*9a²/2bc²
=(-b²c/1)*(3a/2bc²)
=(-b)*(3a/2c)
= -3ab/2c
(2)(a-b)/(2a+2b)*(a²+b²)/(a²-b²)
=(a-b)/2(a+b)*(a²+b²)/(a+b)(a-b)
=(a-b)/2(a+b)*(a²+b²)/(a+b)(a-b)
=(a²+b²)/2(a+b)²
(3)(-2z/4x²y)÷z^3/5xy
=(-z/2x²y)×5xy/z³
=(-5xy)/2x²yz²
= -5/2xz²
(4)(x+1)²(1-x)²/(x²-1)²÷(x-1)²/x²-1
= (x+1)²(1-x)²/(x²-1)²×(x²-1)/(x-1)²
=(x+1)²(x-1)²/(x+1)²(x-1)²×(x+1)(x-1)/(x-1)²
=1×(x+1)/(x-1)
=(x+1)/(x-1)
(5)(2m+4)/(m²-4m+4)*(m²-4)*(2m-4)/(m^4-16)
=2(m+2)/(m-2)² *(m+2)(m-2) * 2(m-2)/(m²+4)(m²-4)
=4(m+2)²(m-2)²/(m-2)²(m²+4)(m+2)(m-2)
=4(m+2)/(m²+4)(m-2)
(6)(n²-m²)/mn÷(m²-2mn+n²)/mn÷(m+n)/(m-n)
= -(m+n)(m-n)/mn ×mn/(m-n)² ×(m-n)(m+n)
=-(m-n)²/(m-n)²
= -1
分式的乘除法 计算 (1)(-b²c/3a)*9a²/2bc² (2)a-b/2a+2b*
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