化简求值:(X-1/2Y-1)(X-1/2Y+1)-(X-1/2Y-1)平方,其中X=1.7,Y=3.9
问题描述:
化简求值:(X-1/2Y-1)(X-1/2Y+1)-(X-1/2Y-1)平方,其中X=1.7,Y=3.9
运用平方差公式和完全平方公式.
答
(X-1/2Y-1)(X-1/2Y+1)-(X-1/2Y-1)平方=[(X-1/2Y)-1][(X-1/2Y)+1]-[(X-1/2Y)-1]平方=[(X-1/2Y)平方-1]-[(X-1/2Y)平方-2(X-1/2Y)+1](左边是平方差公式,右边是完全平方公式)=(X-1/2Y)平方-1-(X-1/2Y)平方+2(X-1/2...