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Question
Which of the options given below is the square of the binomial `(8-1/"x")`?
Options
`64-1/"x"^2`
`64+1/"x"^2`
`64-16/"x"+1/"x"^2`
`64+16/"x"+1/"x"^2`
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Solution
`64-16/"x"+1/"x"^2`
Explanation:
The given binomial is `(8-1/"x")`.
`(8-1/"x")^2`
= `(8)^2-2xx(8)xx(1/"x")+(1/"x")^2` ...`[∵ ("a"-"b")^2 ="a"^ 2-2"ab"+"b"^2]`
= `64-16/"x"+1/"x"^2`
Hence, the correct answer is option `64-16/"x"+1/"x"^2`
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