NDA2015MathematicsTrigonometric Ratios & IdentitiesActual
(1- A+ A)^2 is equal to
Options
- A2(1- A)(1+ A)
- B2(1- A)(1+ A)
- C2(1- A)(1- A)
- DNone of the above
Correct answer
B. 2(1- A)(1+ A)
Step-by-step solution
aligned & (1- A+ A)^2 & =1+ ^2 A+ ^2 A-2 A & -2 A A+2 A aligned aligned & =2-2 A-2 A A+2 A & =2(1- A)+2 A(1- A) & =2(1+ A)(1- A) aligned Option (B) is correct.