1.a

(%i1) p:(x^4+x^3-4*x^2-4*x)/(x^4+x^3-x^2-x)$

(%i2) num(p)/factor(num(p));

Result

1.b

(%i3) factor(num(p))/denom(p);

Result

1.c

(%i4) factor(p);

Result

1.d

(%i5) ratsimp(p);

Result

1.e

(%i6) expand(ratsimp(p));

Result

1.f

(%i7) partfrac(p,x);

Result

2.a

(%i8) q:2*y*z^2+x*z^3+2*x*z^4$

(%i94) unorder()$ ordergreat(z,x);

Result

(%i96) 2*y*z^2+x*z^3+2*x*z^4;

Result

2.b

(%i103) unorder()$ ordergreat(x,y,z);

Result

(%i105) 2*y*z^2+x*z^3+2*x*z^4;

Result

2c

(%i91) unorder()$ ordergreat(y,z);

Result

(%i93) 2*y*z^2+x*z^3+2*x*z^4;

Result

2.d

(%i14) unorder()$

(%i15) collectterms(q,x);

Result


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