contestada

Alaina was asked whether the following equation is an identity:
(2x + 1)2 – (x + 1)2 = 3(x + 1)2 - 1
She performed the following steps:
(2x + 1)2 – (x + 1)2
Step 1
= 4x2 + 4x +1 - 2 + 2.0 + 1
Step 2
= 3x2 + 6x + 2
Step 3
→
= 3x² + 6x +3-1
Step
= 3(x2 + 2x + 1) - 1
Step 5
3(x + 1)2 – 1
For this reason, Alaina stated that the equation is a true identity.
Is Alaina correct? If not, in which step did she make a mistake?

Respuesta :

Medexassemba

Answer: yerror she made is at the level of the first step if you want me to show it to you ask me in comment

                                   

An equation is formed of two equal expressions. Alaina made a mistake. The Mistake that she made is in the first step, where she opened the brackets wrongly.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The left side of the equation can be solved as,

(2x + 1)² – (x + 1)²

= 4x² + 4x +1 - x² - 2x - 1

= 3x² + 2x

Solving the right side of the equation,

3(x + 1)² - 1

3x² + 6x + 3 - 1

3x² + 6x +2

Hence,  Alaina made a mistake. The Mistake that she made is in the first step, where she opened the brackets wrongly.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ2

Otras preguntas