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We will calculate and show you how to factorize x2 – 9 by difference of squares method.
Step 1 – x2 – 9
Step 2 – We use difference of squares method to factorize x2 – 9
= a2 – b2 = (a + b) (a – b)
= So, considering a = x and b = 3
= x2 – 32
Answer = (x + 3) (x – 3)
We can recheck that our answer is correct by calculating the product of the factors we got in the answer.
= (x + 3) (x – 3)
= x (x – 3) + 3 (x – 3)
= x2 – 3x + 3x – 9
Answer = x2 – 9
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