
利用分解因式做:(x+y)的立方(x-y)-(x-y)的立方(x+y)
2个回答
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提取公因式(X+Y)(X-Y)
=(X+Y)(X-Y)[(X+Y)^2-(X-Y)^2]
=(X+Y)(X-Y)(X+Y+X-Y)(X+Y-X+Y)
=(X+Y)(X-Y)2X*2Y
=4XY(X+Y)(X-Y)
=(X+Y)(X-Y)[(X+Y)^2-(X-Y)^2]
=(X+Y)(X-Y)(X+Y+X-Y)(X+Y-X+Y)
=(X+Y)(X-Y)2X*2Y
=4XY(X+Y)(X-Y)
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