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Question

Simplify:

5+25-2-5-25+2

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Solution

The rationalising factor for 5+25-2 and 5-25+2 are 5+2 and 5-2 respectively. So
5+25-2-5-25+2=5+25+25-25+2-5-25-25+25-2 =5+2252-22-5-2252-22 a-ba+b=a2-b2 =5+2+455-4-5+2-455-4 =7+45-7+45=85
Hence, 5+25-2-5-25+2=85.

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