+0  
 
0
48
2
avatar+124 

Simplify 

 Sep 14, 2022
 #1
avatar+9445 
+2

\(\phantom{=\quad}\dfrac{x^2+2x^4+3x^6+\cdots+1005x^{2010}}{2x+4x^3+6x^5+\cdots+2010x^{2009}}\)

 

Factor  x  out of all the terms in the numerator and factor  2  out of all the terms in the denominator to get:

 

\({=\quad}\dfrac{x(x+2x^3+3x^5+\cdots+1005x^{2009})}{2(x+2x^3+3x^5+\cdots+1005x^{2009})}\)

 

Now we can cancel out the common factor from the numerator and denominator to get:

 

\({=\quad}\dfrac{x}{2}\)

gdfngkdfngkj

 Sep 14, 2022
 #2
avatar+124 
+1

thank you

Keihaku  Sep 14, 2022

15 Online Users