SYMBOLIC ALGEBRA

(1+x)^8

Expand[%]

Factor[ u^2 + 2 u v + v^2 ]

x + 2 y /. x -> 3y

a + 2 b + 3 c /. {a->1,b->2,c->3}

Simplify[ x^2 + 2 x + 1]

Factor[ z^2 + 4 z + 8 ]

Factor[ z^2 + 4 z + 8, GaussianIntegers -> True ]

Integrate[ x/(x^3 -1), x]

D[%, x]

Simplify[%]

expr = (x-1)(x-3)/((x-2)(x-4))

Expand[%]

ExpandAll[%]

Together[%]

Factor[%]

Simplify[%]

pol = (x^2 + x y + y^2 + x + y)^2

Expand[%]

Collect[%,y]

Cos[x]^2 Sin[x]^2

Expand[%, Trig -> True ]

Factor[%]

Factor[%, Trig -> True ]

Sin[ x + I y ]

ComplexExpand[%]

Sqrt[ a b ]

PowerExpand[%]

PowerExpand[ Sqrt[ (-a)^2 ] ]

Sqrt[ -a ] Sqrt[ -a ]

expr = Expand[ ( x + y )^4 ]

Coefficient[expr, x^3]

Part[ expr, 3 ]

(x+y)/(x-y)

Numerator[%] Denominator[%]

4 a^2 x^2 / (x^2 - y^2)^2

Apart[%]

?Apart