1、(x^2+13x+42)/(x+6) 2、[(m+n)^2-4(m-n)^2]/(3n-m)
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1、(x^2+13x+42)/(x+6) 2、[(m+n)^2-4(m-n)^2]/(3n-m)
3、[(a-2b)^2-4(a-2b)+4]/(a-2b-2)
4、(2-32a^4)/(4a^2+1)/(2a+1)
3、[(a-2b)^2-4(a-2b)+4]/(a-2b-2)
4、(2-32a^4)/(4a^2+1)/(2a+1)
1、(x^2+13x+42)/(x+6)
=(x+6)(x+7)/(x+6)
=x+7
2、[(m+n)^2-4(m-n)^2]/(3n-m)
=[(m+n)^2-(2m-2n)^2]/(3n-m)
=(m+n+2m-2n)(m+n-2m+2n)/(3n-m)
=(3m-n)(3n-m)/(3n-m)
=3m-n
3、[(a-2b)^2-4(a-2b)+4]/(a-2b-2)
=(a-2b-2)^2/(a-2b-2)
=a-2b-2
4、(2-32a^4)/(4a^2+1)/(2a+1)‘
=-2(16a^4-1)/(4a^2+1)(2a+1)
=-2(4a^2+1)(2a+1)(2a-1)
=-2(2a-1)
=-4a+2
=(x+6)(x+7)/(x+6)
=x+7
2、[(m+n)^2-4(m-n)^2]/(3n-m)
=[(m+n)^2-(2m-2n)^2]/(3n-m)
=(m+n+2m-2n)(m+n-2m+2n)/(3n-m)
=(3m-n)(3n-m)/(3n-m)
=3m-n
3、[(a-2b)^2-4(a-2b)+4]/(a-2b-2)
=(a-2b-2)^2/(a-2b-2)
=a-2b-2
4、(2-32a^4)/(4a^2+1)/(2a+1)‘
=-2(16a^4-1)/(4a^2+1)(2a+1)
=-2(4a^2+1)(2a+1)(2a-1)
=-2(2a-1)
=-4a+2
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