To simplify $(X + V2)^2$, we expand the square using the formula for the square of a binomial:

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

Here:

• $a = X$
• $b = V2$

So:

$(X + V2)^2 = X^2 + 2(X)(V2) + (V2)^2$

Thus, the expanded form is:

$X^2 + 2X(V2) + (V2)^2$

This is the fully expanded expression.

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Do you want details or have any questions?

Here are 5 related questions:

1. How do you simplify expressions with more complex binomials?
2. What is the significance of using the binomial expansion formula?
3. How do you handle terms if $V2$ represents a specific number or variable?
4. Can we use a similar formula for cubes of binomials?
5. What is the geometric interpretation of squared binomials?

Tip: Always write the binomial clearly to avoid misinterpreting variables or coefficients!