Question

Se considera expresia e(x)=(2 supra x+5-3 supra x-5+24 supra x2-25) 1-x2 supra x2-6x+5

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Answer 1

E(x)=[2/(x+5)-3/(x-5)+24/(x²-25)]:(1-x²)/(x²-6x+5)=
=[2(x-5)-3(x+5)+24]/(x²-25) :(1-x²)/(x²-5x-x+5)=
=(2x-10-3x-15+24)/(x²-25) :(1-x²)/[x(x-5)-(x-5)]=
=(-x-1)/(x²-25) :(1-x²)/(x-5)(x-1)=
=-(x+1)/(x-5)(x+5) ×(x-5)(x-1)/(1-x)(1+x)=
=-(x+1)/(x-5)(x+5) ×(x-5)(x-1)/[-(x-1)(1+x)]=
=(x+1)/(x-5)(x+5) ×(x-5)(x-1)/(x-1)(1+x)=
=1/(x+5)