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Question
Expand.
(7m − 3n − 4k)2
Sum
Solution
It is known that,
\[\left( a + b + c \right)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ac\]
\[\ \left( 7m - 3n - 4k \right)^2 \]
\[ = \left( 7m \right)^2 + \left( - 3 n^2 \right) + \left( - 4k \right)^2 + 2 \times 7m \times \left( - 3n \right) + 2 \times \left( - 3n \right) \times \left( - 4k \right) + 2 \times 7m \times \left( - 4k \right)\]
\[ = 49 m^2 + 9 n^2 + 16 k^2 - 42mn + 24nk - 56km\]
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