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Question
If * is an operation such that for integers a and b we have a * b = a × b + (a × a + b × b) then find (–3) * (–5)
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Solution
We have, a * b = a × b + (a × a + b × b)
Now, put a = (–3) and b = (–5)
(–3) * (–5) = (–3) × (–5) + [(–3) × (–3) + (–5) × (–5)]
= 15 + (9 + 25)
= 15 + 34
= 49
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