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Question
If a * b = a2 + b2, then the value of (4 * 5) * 3 is _____________ .
Options
(42 + 52) + 32
(4 + 5)2 + 32
412 + 32
(4 + 5 + 3)2
Solution
\[\left( {41}^2 + 3^2 \right)\]
Given: a * b = a2 + b2
\[\left( 4 * 5 \right) * 3 = \left( 4^2 + 5^2 \right) * 3\]
\[ = \left( 4^2 + 5^2 \right)^2 + 3^2 \]
\[ = {41}^2 + 3^2\]
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