Given the square of X+X-1=0, calculate the value of the third power of 2013X+ the square of 2014X-2012X-2013 334455665 Friends, how do I get the first step, the end is equal to 2014, or equal to 2012 Given the square of X+X-1=0, calculate the value of the third power of 2013X+ the square of 2014X-2012X-2013 334455665 Friends, how do I get the first step, is it 2014 or 2012

Given the square of X+X-1=0, calculate the value of the third power of 2013X+ the square of 2014X-2012X-2013 334455665 Friends, how do I get the first step, the end is equal to 2014, or equal to 2012 Given the square of X+X-1=0, calculate the value of the third power of 2013X+ the square of 2014X-2012X-2013 334455665 Friends, how do I get the first step, is it 2014 or 2012

Solution
X2+x-1=0
X2+x=1
2013X3+2014x2-2012x-2013
=2013X (x2+x)+x2-2012x-2013
=2013X+x2-2012x-2013
=X2+x-2013
=1-2013
=-2012
Yes -2012, this step?
2013X3+2014x2-2012x-2013
=2013X (x2+x)+x2-2012x-2013
Top 2
2013X3+2013x2+ x2-2012x-2013
=2013X (x2+x)+x2-2012x-2013
=2013X*1+x2-2012x-2013

100Th power of 2 minus 99th power of 2 divided by 97th power of 2 minus 96th power of 2 equals

(2^100-2^99)/(2^97-2^96)
=2^96(2^4-2^3)/[2^96(2-1)]
=(16-8)/(2-1)
=8