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[(x^2-2x+24)/(x^2+2x+1)]^3*[(x+1)/(x-6)]^4*[1/(x+4)]^3
题目详情
[ (x^2-2x+24)/(x^2+2x+1) ]^3 *[ (x+1)/(x-6) ]^4 *[ 1/(x+4) ]^3
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答案和解析
应该是：
[ (x^2-2x-24)/(x^2+2x+1) ]^3 *[ (x+1)/(x-6) ]^4 *[ 1/(x+4) ]^3
=(x-6)^3(x+4)^3/(x+1)^6*(x+1)^4/(x-6)^4*1/(x+4)^3
=1/(x+1)^2(x-6)
[ (x^2-2x-24)/(x^2+2x+1) ]^3 *[ (x+1)/(x-6) ]^4 *[ 1/(x+4) ]^3
=(x-6)^3(x+4)^3/(x+1)^6*(x+1)^4/(x-6)^4*1/(x+4)^3
=1/(x+1)^2(x-6)
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