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Question
Simplify : (4m − 8n)2 + (7m + 8n)2
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Solution
To simplify, we will proceed as follows:
\[\left( 7m - 8n \right)^2 + \left( 7m + 8n \right)^2 \]
\[ = 2 \left( 7m \right)^2 + 2 \left( 8n \right)^2 \left[ \because \left( a - b \right)^2 + \left( a + b \right)^2 = 2 a^2 + 2 b^2 \right]\]
\[ = 98 m^2 + 128 n^2 \]
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