Factor Difference 6A87D4
Let's learn how to factor $x^2 - 4$! 🎉
1️⃣ Imagine you have $x^2$ like a big square box 📦 and $4$ like 4 small boxes 📦📦📦📦.
2️⃣ Notice $4$ is a perfect square because $2 \times 2 = 4$. This helps us use a special rule called "difference of squares".
3️⃣ The difference of squares rule says: $$a^2 - b^2 = (a - b)(a + b)$$
4️⃣ Here, $a = x$ and $b = 2$. So, we write:
**Box 1:**
Group 1:
📦
(x)
Add ➕
**Box 2:**
📦
(x)
Group 2:
2️⃣
(2)
=
**Factored form:**
2️⃣
(2)
(📦 - 2️⃣)(📦 + 2️⃣)
$(x - 2)(x + 2)$
Great! So $x^2 - 4 = (x - 2)(x + 2)$.
You did awesome! 🌟$(x - 2)(x + 2)$