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ICSE Class 9 Answered

27(m+2n)^3+(m-6n)^3

 

Asked by cprosu36 | 04 Jul, 2019, 08:21: PM
Expert Answer

27(m + 2n)+(m - 6n)3

= [3(m + 2n)3] + (m - 6n)3

= [3(m + 2n) + m - 6n][9(m + 2n)2 - 3(m + 2n)(m - 6n) + (m - 6n)2]

= (3m + 6n + m - 6n)[9(m2 + 4mn + 4n2 - 3(m2 - 6mn + 2mn - 12n2) + m2 - 12mn + 36n2)]

= 4m (9m2 + 36mn + 36n2 - 3m2 + 18mn - 6mn + 36n2 + m2 - 12mn + 36n2)

= 4m(7m2 + 36mn + 108n2)

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