Simplify[(((x^2)+2x+4)/((x^2)+4x+4))÷((x^3-8)/(3x+6))÷(1/((x^2)-4))]
Simplify[(1/(x+1))-((x+3)/((x^2)-1))×(((x^2)-2x+1)/((x^2)+4x+3))]
Simplify[(a/((a-b)(a-c)))+(b/((b-c)(b-a)))+(c/((c-a)(c-b)))]
FullSimplify[((2√2 +3√3)/(3√2-2√3))]

Solve[3(x^2)+5(2x+1)==0,x]
Solve[(x^2)-(2m+1)x+(m^2)+m==0, x]
Solve[{(x^2)+2x*y+y^2==9, (((x-y))^2)-3(x-y)-10==0},{x,y}]

Sum[k^3,{k,1,n}]
Sum[k^3,{k,m,n}]
Sum[k^5,{k,1,n}]
Sum[k^5,{k,m,n}]

RSolve[a[n+1]==x+a[n]-y,a[n],n]
RSolve[a[n+1]==a[n]/x-y,a[n],n]
RSolve[{a[n+1]==(2 a[n]+3)/(a[n]+4),a[0]==0},a[n],n]
RSolve[{a[n+1]-a[n]==n^2,a[0]==1},a[n],n]

Limit[(((E^x)-(e^(-x)))/(Sin[x])),x-> 0]
Limit[(x/(x-1))-(1/(Log[x])),x->1]
Limit[((1-Cos[x])/(x^2)),x->0]
Limit[(((1+(1/(x^2))))^x),x->∞]
Limit[ √(n-√n)-√n, n->∞]