Evaluate the following without calculating the squares of the numbers appearing in the expressions. (a) 13^2 - 12^2 (b) 201^2 - 199^2
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Answer:
13² - 12² = 25
201² - 199² = 800
Step-by-step explanation:
Evaluate the following without calculating the squares of the numbers appearing in the expressions. (a) 13^2 - 12^2 (b) 201^2 - 199^2
Using a² - b² = (a + b) (a - b)
13² - 12²
= (13 + 12)(13 - 12)
= (25)(1)
= 25
201² - 199²
= (201 + 199)(201 - 199)
= (400)(2)
= 800
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