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Question

If 5x+15x=23 and 5x15x=17, find the value of 25x2125x2

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Solution

25x2125x2=(5x)2(15x)2
We know a2b2=(ab)(a+b)
(5x)2(15x)2=(5x15x)(5x15x)
=17×23
=391

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