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Question

Simplify axa+bxb=2cxc

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Solution

axa+bxb=2cxc
a(xb)+b(xa)(xa)(xb)=2c(xc)
(axab+xbab)(xc)=2c(x2axbx+ab)
[(a+b)x2ab](xc)=2cx22acx2bcx+2abx.

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