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Question
Expand: `("a"+1/(2"a"))^2`
Sum
Solution
(x+y)2 = x2 + 2xy + y2
Here, x = a and y = `1/(2a)`.
Apply the formula
`(a+1/(2a))^2 = a^2 + 2 (a. 1/(2a))+(1/(2a))^2`
Simplify each term
- a2 = a2
- `2(a . 1/(2a)) = 2 . 1/2 = 1`
- `(1/(2a))^2 = 1^2/(2a)^2 = 1/(4a)^2`
Combine the terms
`a^2 + 1 + 1/(4a)^2`
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Important Formula of Expansion
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