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Question
Verify the following:
`((3p)/7 + 7/(6p))^2 - (3/7p + 7/(6p))^2 = 2`
Solution
Taking L.H.S. = `((3p)/7 + 7/(6p))^2 - (3/7p + 7/(6p))^2 = 2`
= `[((3p)/7 + 7/(6p)) + ((3p)/7 - 7/(6p))][((3p)/7 + 7/(6p)) - ((3p)/7 - 7/(p))]` ...[Using the identity, a2 – b2 = (a + b)(a – b)]
= `((3p)/7 + 7/(6p) + (3p)/7 - 7/(6p))((3p)/7 + 7/(6p) - (3p)/7 + 7/(6p))`
= `(6p)/7 xx 14/(6p)`
= 2
= R.H.S.
Hence verified.
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