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lukranit [14]
3 years ago
6

(a − 1/a)^2 − (a + 1/a)^2 = (A) 4 (B) -4 (C) 2 (D) -2 (E) 2a

Mathematics
1 answer:
asambeis [7]3 years ago
7 0

Answer:

(B) -4

Step-by-step explanation:

so, do the multiplications and see :

(a - 1/a)² = a² - 2×a/a + 1/a² = a² - 2 + 1/a²

(a + 1/a)² = a² + 2×a/a + 1/a² = a² + 2 + 1/a²

now we need to subtract the second from the first :

(a² - 2 + 1/a²) - (a² + 2 + 1/a²) =

= a² - 2 + 1/a² - a² - 2 - 1/a² = -4

and that's it !

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