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Question
Factorise the following:
`"m"^2 + 1/"m"^2 - 23`
Sum
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Solution
`"m"^2 + 1/"m"^2 - 23` = [Add + 2 and – 2 to make – 23 as – 25]
= `"m"^2 + 1/"m"^2 + 2 - 2 - 23`
= `"m"^2 + 1/"m"^2 + 2 - 25`
= `"m"^2 + 1/"m"^2 + 2 xx "m" xx 1/"m" - 5^2`
= `("m" + 1/"m")^2 - 5^2`
= `("m" + 1/"m" + 5)("m" + 1/"m" - 5)`
shaalaa.com
Factorisation Using Identity a2 - b2 = (a + b)(a - b)
Is there an error in this question or solution?
Chapter 3: Algebra - Exercise 3.5 [Page 105]
