(x的平方-3x+2)(x的平方+3x-2)=x的平方(x+3)(x-3)用简便算法解方程怎么解

如题所述

相当于:
(x(x-3) +2) * ( x(x+3) -2 ) = x*x(x+3)(x-3)
x(x-3)x(x+3) + x(x-3)*(-2) + x(x+3)(2) - 4 = x*x(x+3)(x-3) 两边同时减 x*x(x+3)(x-3)
-2x(x-3) + 2x(x+3) -4 = 0 提取 2x
2x(x+3 - (x-3) ) - 4 =0
2x(6) - 4 = 0
12x - 4 =0
x= 4/12 = 1/3
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