This is a problem from the 1998 Calculus AB released AP exam and I don't get it.
Answer choices:
A) 1/a^2
B) 1/2a^2
C) 1/6a^2
D) 0
E) nonexistent
The answer is B but like I said, I don't understand how one gets B.
Answer choices:
A) 1/a^2
B) 1/2a^2
C) 1/6a^2
D) 0
E) nonexistent
The answer is B but like I said, I don't understand how one gets B.
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the bottom part is a difference of a quad, which fators out to: (x^2 - a^2)(x^2 + a^2).
The top (x^2 - a^2) cancels out the bottom (x^2 - a^2) leaving you with 1 on top.
Now you are left with 1/( x^2 + a^2). Since the bottom cannot be factored any further, you now plug in "a" for "x" to solve. This gives you: 1/(a^2 + a^2) = 1/2a^2
The top (x^2 - a^2) cancels out the bottom (x^2 - a^2) leaving you with 1 on top.
Now you are left with 1/( x^2 + a^2). Since the bottom cannot be factored any further, you now plug in "a" for "x" to solve. This gives you: 1/(a^2 + a^2) = 1/2a^2
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This is probably going to be a really bad answer;however I can't but notice 1/2 a because those two things are kinda half of each other xD 4 and 2. x^2 and x^4. Yeah, I'm bored so just go with some person who posts some really hard logic stuff o -o This is going to get down-voted.