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Question

If a=535+3 and b=5+353
Find a2+b26ab

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Solution

a=535+3×5353=5+321553=82152=415
b=5+353×5+35+3=5+3+21553=8+2152=4+15
a2+b26ab
=a2+b22ab4ab
=(ab)24ab
=(415415)24(415)(4+15)
=4×154(1615)
=604=56


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