分解因式(a-b)²-9(a+b)² 解分式方程4/(x²-1)-1=(x+1)/(1-x)
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分解因式(a-b)²-9(a+b)² 解分式方程4/(x²-1)-1=(x+1)/(1-x)
分解因式(a-b)²-9(a+b)² 解分式方程4/(x²-1)-1=(x+1)/(1-x)
分解因式(a-b)²-9(a+b)² 解分式方程4/(x²-1)-1=(x+1)/(1-x)
(a-b)²-9(a+b)²
=(a-b+3a+3b)(a-b-3a-3b)
=(4a+2b)(-2a-4b)
=-4(2a+b)(a+2b)
4/(x²-1)-1=(x+1)/(1-x)
两边乘以(x+1)(x-1)
4-x²+1=-x²-2x-1
2x=-6
x=-3
检验:x=-3是方程的解