If x is a rational number and ( x + 1 )^3 - ( x - 1 )^3 ( x + 1 )^2 -…

Question

If x is a rational number and ( x + 1 )^3 - ( x - 1 )^3 ( x + 1 )^2 - ( x - 1 )^2 = 2, then the sum of numerator and denominator of x is?

Accepted Answer

Option B. 4. Answer & Solution Answer: Option B Solution: & ( x + 1 )^3 - ( x - 1 )^3 ( x + 1 )^2 - ( x - 1 )^2 = 2 & A^3 - B^3 = ( A - B ) ( A^2 + AB + B^2 ) & A^2 - B^2 = ( A - B ) ( A + B ) ( x + 1 - x + 1 ) \ ( x + 1 )^2 + ( x - 1 ) ( x + 1 ) + ( x - 1 )^2 \ ( x + 1 - x + 1 ) ( x + 1 + x…