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(2+5omega +2 omega^2)^6=(2+2omega+5 omega^2)^6=729 |
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Answer» Solution :`L.H.S.=(2+5OMEGA+2omega^2)^6` `=(2+2omega^2+5omega)^6={2(1+omega^2)+5omega}^6` `=(-2omega+5omega)^6=(3omega)^6=729omega^6=729` `"Again", (2+2omega+5omega^2)^6` `={2(1+omega)+5omega^2}^6` `=(-2omega^2+5omega^2)^6=(3omega^2)^6` `=729omega^(12)=729` `:.(2+5omega+2omega^2)^6=(2+2omega+5omega^2)^6=729` |
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