Factorise x6/343+343/x6
Please answer I will mark as brainliest
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I think it will be 6x to the power minus 12
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(x6/343) + (343/x6)
Above terms can be written as,
(x2/7)3 + (7/x2)3
We know that, a3 + b3 = (a + b) (a2 – ab + b2)
Where, a = (x2/7), b = (7/x2)
Then, (x2/7)3 + (7/x2)3 = [(x2/7) + (7/x2)] [(x2/7)2 – ((x2/7) × (7/x2)) + (7/x2)2]
= [(x2/7) + (7/x2)] [(x4/49) – 1 + (49/x4)]
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