DOPROWADZ WYRAŻENIE DO NAJPROSTRZEJ POSTACI:
a) (3x^{3}y + 2x^{2}–xy^{2}) + [4x^{2} – (2x^{3}y – 2xy^{2})] = b) (2xy + 14x^{2} – 4xy^{2}) – [4xy – (2xy^{2} – 5x^{2})] =


Odpowiedź :

Odpowiedź:

[tex]a)\ \ (3x^3y+2x^2-xy^2)+[4x^2-(2x^3y-2xy^2)]=\\\\=3x^3y+2x^2-xy^2+(4x^2-2x^3y+2xy^2)=3x^3y+2x^2-xy^2+4x^2-2x^3y+2xy^2=\\\\=x^3y+6x^2+xy^2\\\\\\b)\ \ (2xy+14x^2-4xy^2)-[4xy-(2xy^2-5x^2)]=\\\\=2xy+14x^2-4xy^2-(4xy-2xy^2+5x^2)=2xy+14x^2-4xy^2-4xy+2xy^2-5x^2=\\\\=-2xy+9x^2-2xy^2[/tex]