Answer:
x-4
Step-by-step explanation:
We have to calculate each product and combine like terms in the following
(√x+2)(√x-2)
Now, (√x+2)(√x-2) {We have to apply the formula (a+b)(c+d) = a(c+d)+b(c+d)}
= √x(√x-2) + 2(√x-2)
= √x.√x -2√x +2√x-2.2
= x-2√x+2√x -4 {Since, √x.√x =x , using the formula xᵃ. xᵇ =x⁽ᵃ⁺ᵇ⁾ }
Now, combining the rational and irrational terms separately we get,
=(x-4)+(2√x-2√x)
=x-4 {Since 2√x and -2√x cancel each other}
(Answer)
