Factor Difference Squares 66Ffdf
Let's factor $x^2 - 9$ step by step! 🎉
1️⃣ Imagine you have $x^2$ which is $x$ times $x$:
Group 1:
❌ ❌
(2 times $x$)
2️⃣ Now think about 9 as $3 imes 3$:
❌ ❌
(2 times $x$)
Group 2:
3️⃣ 3️⃣
(2 times 3)
3️⃣ $x^2 - 9$ is a difference of squares because:
$$x^2 - 3^2$$
4️⃣ The formula for difference of squares is:
$$a^2 - b^2 = (a - b)(a + b)$$
5️⃣ So here:
$$x^2 - 9 = (x - 3)(x + 3)$$
Great! You factored it! 🎯3️⃣ 3️⃣
(2 times 3)