(x + √(3) ) {}^(2) - (x - √(3) ) { }^(2) = 8 √(3)idk how to solve it

Question

`(x + √(3) ) {}^(2) - (x - √(3) ) { }^(2) = 8 √(3)`idk how to solve it

Answer 1

`(x + √(3) ) {}^(2) - (x - √(3) ) { }^(2) = 8 √(3)`

Using (a² - b²) = (a + b)(a - b):

`(x + √(3) + x - √(3) )(x + √(3) - x + √(3) ) = 8 √(3)`

Combine like terms in the brackets:

`(2x)(2√(3)) = 8 √(3)`

Simplify LHS:

`4x√(3) = 8 √(3)`

Divide by √3 on both sides:

`4x = 8`

Divide by 4 on both sides:

`x = 2`

Answer 2

the first step to solving this is to use a² - b² = (a - b)(a + b) to factor the expression
2√3 × 2x = 8√3
now calculate the product
4√3x = 8√3
finally,, divide both sides of the equation by 4√3
x = 2.
this means that the correct answer to your question is x = 2.
let me know if you have any further questions
:)