Risolvi la seguente espressione con monomi e semplificala:
![[(-\frac{1}{2}m+m)^2+(\frac{3}{2}m-m)^2] : (-\frac{m}{2})+(-2mn)^3 : (-16m^2n^3)](https://www.eserciziario.eu/wp-content/ql-cache/quicklatex.com-7c20f09478f61788a8ce7ae7f5303024_l3.png "Rendered by QuickLaTeX.com")
Per prima cosa risolviamo tutte le potenze dell’espressioni che si trovano nella parentesi:
![[(-\frac{1}{2}m+m)^2+(\frac{3}{2}m-m)^2] : (-\frac{m}{2})-8m^3n^3 : (-16m^2n^3)](https://www.eserciziario.eu/wp-content/ql-cache/quicklatex.com-041b05e5c424cfb975560136d2f0bc4d_l3.png "Rendered by QuickLaTeX.com")
Nelle parentesi sono presenti dei monomi simili che possono essere addizionati:
![[(\frac{-1+2}{2}m)^2+(\frac{3-2}{2}m)^2] : (-\frac{m}{2})+(-8m^3n^3) : (-16m^2n^3)](https://www.eserciziario.eu/wp-content/ql-cache/quicklatex.com-a89506aa64a25f21a8647a00e23fbd76_l3.png "Rendered by QuickLaTeX.com")
![[(\frac{1}{2}m)^2+(\frac{1}{2}m)^2] : (-\frac{m}{2})+(-8m^3n^3 ): (-16m^2n^3)](https://www.eserciziario.eu/wp-content/ql-cache/quicklatex.com-5a4b206eac1e0eb4929a910d39f614be_l3.png "Rendered by QuickLaTeX.com")
![[(\frac{1}{4}m^2)+(\frac{1}{4}m^2)] : (-\frac{m}{2})+(\frac{8}{16}m)](https://www.eserciziario.eu/wp-content/ql-cache/quicklatex.com-a0349a8471440c8abca1681221dc199b_l3.png "Rendered by QuickLaTeX.com")
![[(\frac{1+1}{4}m^2)] : (-\frac{m}{2})+(\frac{1}{2}m)](https://www.eserciziario.eu/wp-content/ql-cache/quicklatex.com-5080823219ac7cacaf844aaa1a966b46_l3.png "Rendered by QuickLaTeX.com")
![[(\frac{1}{2}m^2)] : (-\frac{m}{2})+(\frac{1}{2}m)](https://www.eserciziario.eu/wp-content/ql-cache/quicklatex.com-c1e6345f8745413af2cc7e51c17acc6b_l3.png "Rendered by QuickLaTeX.com")
![[(\frac{1}{2}\cdot2 m)]+(\frac{1}{2}m)](https://www.eserciziario.eu/wp-content/ql-cache/quicklatex.com-8dad89af9d65e779082a6a65aa456886_l3.png "Rendered by QuickLaTeX.com")
Ritorna a espressioni monomi
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