Solving (x-3)(x+5) using the Identity
We can solve the expression (x-3)(x+5) using the difference of squares identity.
This identity states that: (a-b)(a+b) = a² - b²
Let's apply this to our expression:
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Identify a and b: In our case, a = x and b = 3.
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Substitute into the identity: (x - 3)(x + 5) = x² - 3²
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Simplify: x² - 3² = x² - 9
Therefore, the simplified form of (x-3)(x+5) using the difference of squares identity is x² - 9.