Expand (a+b)²: Step-by-Step Perfect Square Formula

To solve this problem, we'll follow these steps:

• Identify the given expression $(a+b)^2$.
• Apply the formula for the square of a sum: $(x+y)^2 = x^2 + 2xy + y^2$.
• Substitute $x = a$ and $y = b$ into the formula and simplify.

Let's apply these steps to the expression $(a+b)^2$:
We start with the expression $(a+b)^2$. This means we are squaring the sum $a + b$.

According to the formula $(x+y)^2 = x^2 + 2xy + y^2$, we can substitute $x = a$ and $y = b$. Therefore, the expression becomes:

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

Therefore, the expanded form of the expression $(a+b)^2$ is $a^2 + 2ab + b^2$.