Question

представте произведение в виде многочлена:

1) ( 1+x^2) (1-x^2+x^4)

2) (k+5) (k^2-5k+25)

3) (3-m) (9+3m+m^2)

Answer 1

$(1+x^2) (1-x^2+x^4)=1-x^2+x^4+x^2-2x^4+2x^6$$=-x^4+2x^6$

 

$(k+5) (k^2-5k+25)=2k^3-5k^2+25k+5k^2-25k+125$$=2k^3+125$

 

$(3-m) (9+3m+m^2)=27+9m+3m^2-9m-3m^2-m^3=27-m^3$