Question

Friends, HELP!!
Simplify :-
i) (a+1/a)² + (a-1/a)²
ii) (3x-1)² - (3x-2) (3x+1)
iii) (4x-3y)² - (4x-3y)² - 48xy

Answer 1

(1)

Given:

(a + 1/a)^2 + (a - 1/a)^2

We know that (a + b)^2 = a^2 + b^2 + 2ab

= > a^2 + 1/a^2 + 2 * a * 1/a + a^2 + 1/a^2 - 2 * a * 1/a

= > a^2 + 1/a^2 + 2 + a^2 + 1/a^2 - 2

= > a^2 + 1/a^2 + a^2 + 1/a^2 

= > 2a^2 + 2/a^2



(2) 

Given (3x - 1)^2 - (3x - 2)(3x + 1)

We know that (a - b)^2 = a^2 + b^2 - 2ab

= > 9x^2 - 2 * 3x * 1 + 1^2 - [3x * 3x + 3x * 1 - 2 * 3x - 2 * 1]

= > 9x^2 - 6x + 1 - [9x^2 + 3x - 6x - 2]

= > 9x^2 - 6x + 1 - 9x^2 - 3x - 2

= > 9x^2 - 6x + 1 - 9x^2 + 3x + 2

= > -3x + 3



(3) 

Given (4x - 3y)^2 - (4x -3y)^2 - 48xy

= > -48xy.


Hope this helps!

Answer 2

Hi,

Please see the attached file!



Thanks