Subjects algebra

Factor Difference 6A87D4

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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:**
Group 2:
2️⃣
(2)
= **Factored form:**
(📦 - 2️⃣)(📦 + 2️⃣)
$(x - 2)(x + 2)$
Great! So $x^2 - 4 = (x - 2)(x + 2)$. You did awesome! 🌟