• ← Denominator
• → ExpandAll

Expand

WMA link

Expand[expr]

expands out positive integer powers and products of sums in expr, as well as trigonometric identities.

Expand[expr, target]

just expands those parts involving target.

• • Expand[(x + y) ^ 3]

• • Expand[(a + b) (a + c + d)]

• • Expand[(a + b) (a + c + d) (e + f) + e a a]

• • Expand[(a + b) ^ 2 * (c + d)]

• • Expand[(x + y) ^ 2 + x y]

• • Expand[((a + b) (c + d)) ^ 2 + b (1 + a)]

Expand expands items in lists and rules:

• • Expand[{4 (x + y), 2 (x + y) -> 4 (x + y)}]

Expand expands trigonometric identities

• • Expand[Sin[x + y], Trig -> True]

• • Expand[Tanh[x + y], Trig -> True]

Expand does not change any other expression.

• • Expand[Sin[x (1 + y)]]

Using the second argument, the expression only
expands those subexpressions containing pat:

• • Expand[(x+a)^2+(y+a)^2+(x+y)(x+a), y]

Expand also works in Galois fields

• • Expand[(1 + a)^12, Modulus -> 3]

• • Expand[(1 + a)^12, Modulus -> 4]