Raising a polynomial to a power means multiplying it by itself multiple times.
For example, squaring a binomial:
$$(x + 2)^2 = (x + 2)(x + 2) = x^2 + 4x + 4$$
Cubing a binomial:
$$(x + 1)^3 = (x + 1)(x + 1)(x + 1) = x^3 + 3x^2 + 3x + 1$$
As powers get larger, doing the multiplication and collecting like terms by hand becomes very tedious and error-prone. The algebra("...") function expands expressions to any integer power instantly.
algebra("(x + 2)^2")algebra("(x + 1)^3")
Move the mouse over a dotted box for more information.
The caret ^ operator denotes exponentiation.
Now you try.
Try expanding (x - 3)^4 and (2*x + 1)^3.
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💡 What now?
Expanding $(x+y)^n$ by hand gets tedious for large $n$. The symbolic math computer can handle high powers in milliseconds!