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Mathematics
ScanSolve AI Answer
Step-by-step solution
5 stepsLet's simplify the expression (x² - 9) / (x - 3).
Identify the expression.
The given expression is (x² - 9) / (x - 3).
Factor the numerator.
The numerator, x² - 9, is a difference of squares. The formula for the difference of squares is a² - b² = (a - b)(a + b).
Here, a = x and b = 3.
So, x² - 9 = (x - 3)(x + 3).Substitute the factored numerator back into the expression.
(x² - 9) / (x - 3) = [(x - 3)(x + 3)] / (x - 3)
Cancel out the common term.
We can cancel out the (x - 3) term from both the numerator and the denominator, provided x ≠ 3.
[(x - 3)(x + 3)] / (x - 3) = x + 3State the simplified expression.
The simplified expression is x + 3.
Answer:
The simplified expression is x + 3.
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