Simplify (a+1/a)^2-(a-1/a)^2
1 answer:
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We can begin by rearranging this into multiplication:
Now we can factor the numerators and denominators:
The factors (x+4) and (x+2) cancel out, leaving us with:
Our answer comes out to be:
Based on the numerator of the second fraction (since we used its inverse), the denominators of both, and the factors we canceled out earlier, the restrictions are x ≠ -4, -3, -2, -1, 4