Respuesta :

The answer is b

Square both sides to get rid of the square root

(a+1)^2 = b+1
Subtract 1 from both sides, to isolate b
(a+1)^2 - 1 = b
now multiply the left side out fully. You should see that the answer is the second choice.

Answer:

b = a² + 2a

Step-by-step explanation:

First, square both sides of the equation.

(a + 1)² = sqrt (b + 1)²

I like to write this part out so I don't make the mistake of writing a² + 1.

(a + 1)(a + 1) = (b + 1)

Distribute and simplify. Remember FOIL: First, Outer, Inner, Last.

a² + a + a + 1 = b + 1

a² + 2a + 1 = b + 1

Subtract 1 from both sides to isolate b.

b = a² + 2a