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Question
सोपे रूप द्या.
`(m^2 - n^2)/(m + n)^2 xx (m^2 + mn + n^2)/(m^3 - n^3)`
Simplify
Solution
आपणांस माहीत आहे की,
a3 + b3 = (a + b)(a2 − ab + b2)
a3 − b3 = (a − b)(a2 + ab + b2)
a2 − b2= (a + b) (a − b)
`(m^2 - n^2)/(m + n)^2 xx (m^2 + mn + n^2)/(m^3 - n^3)`
= `((m + n)(m − n))/((m + n)(m + n)) xx (m^2 + mn + n^2)/((m − n)(m^2 + mn + n^2))`
= `1/(m + n)`
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