If m =
√15 and n = √14 , find the value of
m-n-1/
m2 + mn+n?
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Answer:
(m -n) - 1/(m² + mn + n²) = 0
Step-by-step explanation:
If m=15^1/3 and not =14^1/3 then find the value of
(m -n) - 1/(m² + mn + n²)
as we know That a³ - b³ = (a - b)(a² + ab + b²)
=> 1/(a² + ab + b²) = (a - b)/a³ - b³
=> 1/(m² + mn + n²) = (m- n)/(m³ - n³)
= (m -n) - (m- n)/(m³ - n³)
m³ = 15
n³ = 14
= (m - n) - (m-n)/(15 - 14)
= (m-n) - (m-n)/1
= m-n -(m-n)
= 0
(m -n) - 1/(m² + mn + n²) = 0
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