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Simplify the following expression as far as possible:xy+ 3x2y+ 1 + 2xy2+yx2+ 2 +yx
Siphe  Aug 15, 2017
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#1
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Input:xy+ 3x2y+ 1 + 2xy2+yx2+ 2 +yx

Intepretation:$$xy+3x^2y+1+2xy^2+yx^2+2+yx$$

Simplify:

$$=3+2xy+4x^2y+2xy^2$$

(Function non-further-factorizatable)

Jeffes02  Aug 15, 2017
#2
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$$xy + 3x^2y+1+2xy^2+yx^2+2+yx\\ =(xy + yx)+(3x^2y+yx^2)+2xy^2+(1+2)\\ =(xy + xy)+(3x^2y+x^2y)+2xy^2+3\\ =2xy + 4x^2y+2xy^2+3$$

MaxWong  Aug 15, 2017
#3
+18564
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Simplify the following expression as far as possible:

xy+ 3x2y+ 1 + 2xy2+yx2+ 2 +yx

$$\begin{array}{|rcll|} \hline && xy+ 3x^2y+ 1 + 2xy^2+yx^2+ 2 +yx \\ &=& 3+2xy+ 4x^2y+ 2xy^2 \\ &=& 3+2xy+ 2xy(2x+ y) \\ &=& 3+2xy(1+2x+ y) \\ \hline \end{array}$$

heureka  Aug 16, 2017

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