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Simplify the expression (m + 3n)^2

1 Answer

1 vote

Answer:

m² + 6mn + 9n²

Explanation:

given

(m + 3n)²

= (m + 3n)(m + 3n)

each term in the second factor is multiplied by each term in the first factor, that is

m(m + 3n) + 3n(m + 3n) ← distribute parenthesis

= m² + 3mn + 3mn + 9n² ← collect like terms

= m² + 6mn + 9n²

User Prem Singh
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