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Question
Expand.
(m + 2n + 3r)2
Sum
Solution
It is known that,
\[\left( a + b + c \right)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ac\]
\[\ \left( m + 2n + 3r \right)^2 \]
\[ = \left( m \right)^2 + \left( 2n \right)^2 + \left( 3r \right)^2 + 2 \times m \times 2n + 2 \times 2n \times 3r + 2 \times m \times 3r \]
\[ = m^2 + 4 n^2 + 9 r^2 + 4mn + 12nr + 6mr\]
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