Question

Help me solve this intermediate algebra problem

Answer 1

x + 1 + 4√(x-3)

Explanation:

Given:
`$ (√(x - 3) + 2)^2 $`

We know that: (a + b)² = a² + b² + 2ab

Using this formula, we expand the given expression:

⇒
`$ (√(x - 3) + 2)^2  = (√(x - 3))^2 + 2.√(x - 3). 2 + 2^2 $`

⇒
`$ x - 3 +4√(x - 3) + 4 $`

⇒
`$ (√(x - 3) + 2)^2 $` = x + 1 +4√(x - 3).