计算 x的平方分之(x的平方+x) × (x的平方-1)分之x计算 (x的平方-1)分之(x的平方-2x+1) ÷ (x的平方+x)分之(x-1)
问题描述:
计算 x的平方分之(x的平方+x) × (x的平方-1)分之x
计算 (x的平方-1)分之(x的平方-2x+1) ÷ (x的平方+x)分之(x-1)
答
((x*x-2x+1)(x*x+x))/((x*x-1)(x-1)) = (x(x-1)(x+1)) / ((x+1)(x-1))=x
答
[(X²-2X+1)/(X²-1) ] ÷ [(X-1)/(X²+X)]=[(X²-2X+1)/(X²-1) ] × [(X²+X)/(X-1)] =﹛(X-1)²/[(X-1)(X+1)]﹜ × [X(X+1)/(X-1)] =X
答
(x2+x)/x2*x/(x2-1)=1/(x-1)
(x2-2x+1)/(x2-1)/((x-1)/(x2+x))=x