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1242344
@1242344
September 2021
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1)10a/a-2-10a/a+2
2)x/1+x+x/1-x
3)m/1-m^2+1/1+my
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avilov41
1) 10a/a-2-10a/a+2=10a( 1/(a-2)-1/(a+2))=10a(a+2-a+2)/(a-2)(a+2)=10a*4/(a^2-4)=40a/(a^2-4)
2) x/(1+x)+x/(1-x)=(x-x^2+x+x^2)/(1-x^2)=2x/(1-x^2)
3)m/(1-m^2)+1/(1+m)=m/(1-m)1+m)+1/(1+m)=(m+1-m)/(1-m^2)=1/(1-m^2)
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Answers & Comments
2) x/(1+x)+x/(1-x)=(x-x^2+x+x^2)/(1-x^2)=2x/(1-x^2)
3)m/(1-m^2)+1/(1+m)=m/(1-m)1+m)+1/(1+m)=(m+1-m)/(1-m^2)=1/(1-m^2)