Question

Scriti E(x) sub forma de fractie algebrica ireductibila:

E(x)=(1 supra x²-10x+25) - (1 supra x²-2x+1)

Answer 1

nustiu daca am inteles corect conditia, sper sa te ajute

92c7aa7e02501181a57ed1ae04a1864b.doc

Answer 2

E(x) = $\frac{1}{ x^{2} -10x+25} - \frac{1}{ x^{2} -2x+1}$ =

= $\frac{1}{ (x-5)^{2} }$ - $\frac{1}{ (x-1)^{2} }$ =

= $\frac{ (x-1)^{2} }{ (x-5)^{2} * (x-1)^{2} }$ - $\frac{ (x-5)^{2} }{ (x-1)^{2} * (x-5)^{2} }$ =

= $\frac{ (x-1)^{2} - (x-5)^{2} }{ (x-5)^{2} * (x-1)^{2} }$=

= $\frac{ x^{2} -2x+1- x^{2} +10x-25}{ (x-5)^{2} * (x-1)^{2} }$=

= $\frac{8x-24}{ (x-5)^{2} * (x-1)^{2} }$=


= $\frac{8(x-3)}{ (x-5)^{2} * (x-1)^{2} }$