Application of Perfect Square Identities

Application of Perfect Square Identities

TGM Original
  1. Expand and simplify \({{\left( 3a+3b \right)}^{2}}\).
  2. If \({{a}^{2}}+{{b}^{2}}=61\) and \(ab=30\), find the value of \({{\left( 3a+3b \right)}^{2}}\).

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Answer:(a) \(9a^2 + 18ab + 9b^2\) (b) \(1089\)

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