Simplify (- 2) (- 2) ^ 2012 + (- 2) ^ 2013 + (- 2) ^ 2014

Simplify (- 2) (- 2) ^ 2012 + (- 2) ^ 2013 + (- 2) ^ 2014

The common factor [(- 2) ^ 2012] * [1 + (- 2) + (- 2) ^ 2] = 2 ^ 2012 * (1-2 + 4) = 3 * 2 ^ 2012

Explore and calculate 2 times 1 / 4 + 4 times 1 / 6 + 6 times 1 / 8 and so on + 2012 times 1 / 2014

503 / 2014

2012 × 2014 × (1 / 2012 × 2013 + 1 / 2013 × 2014)

Original formula = 2012 * 2014 * (1 / 2012-1 / 2013 + 1 / 2013-1 / 2014)
=2012*2014*(1/2012-1/2014)
=2012 * 2014 * (2 / 2012 * 2014)
=2
Divide a number into two and subtract them

If (1 + SiNx) / cosx = - 1 / 2, find SiNx

(1+sinx)/cosx= -1/2(sinx/2+cosx/2)²/(cosx/2) ²-(sinx/2)²=-1/2(sinx/2+cosx/2)/(sinx/2-cosx/2)=1/2sinx/2=-3cosx/2sinx/2=-3/√10cosx/2=1/√10sinx=-3/5