Question

simplify the following.
please explain step by step.​

Answer 1

Answer : 4

(√3+1/√3)^2 - (√3-1/√3)^2

=> [(√3)^2 +(1/√3)^2 +2(√3)(1/√3)] - [(√3)^2+(1/√3)^2-2(√3)(1/√3)]

because the question is in the form of (a+b)^2 and (a-b)^2 and we know that (a+b)^2 = a^2 + b^2 + 2ab and (a-b)^2 = a^2 + b^2 - 2ab

and so solving it we get ,

=> ( 3+1/3+2) - (3+1/3-2)

=> 3+1/3+2-3-1/3+2 (here, when the (-) sign goes inside the respective signs of the constants gets changed.

=> 3-3+1/3-1/3+2+2

=> 0+0+4 = 4 Ans.