To expand $(x + 1)^2$, apply the formula for the square of a binomial:

$(a + b)^2 = a^2 + 2ab + b^2$

In this case:

• $a = x$
• $b = 1$

Now substitute $a$ and $b$ into the formula:

$(x + 1)^2 = x^2 + 2 \cdot x \cdot 1 + 1^2$

Simplifying each term:

$(x + 1)^2 = x^2 + 2x + 1$

So, the unfactored form of $(x + 1)^2$ is:

$x^2 + 2x + 1$

Would you like a further breakdown of the steps, or have any questions?

Related Questions

1. How would you expand $(x - 2)^2$?
2. Can you show how to expand $(2x + 3)^2$?
3. What is the formula for expanding $(a + b)^3$?
4. How do you expand a binomial like $(x + 1)^3$?
5. What is the factored form of $x^2 + 2x + 1$?

Tip

Remember that the middle term in $(a + b)^2$ is always twice the product of $a$ and $b$.