# What is Algebraic Expression

Algebraic expression is a bunch of numbers (constants), operations and variables.

Unlike number expressions, algebraic expressions can contain variables.

Following is example of algebraic expression:

huge color(green)(x)color(blue)(times)color(red)(2)color(blue)(+)color(red)(3)color(blue)(-)color(green)(x)color(blue)(times)color(green)(y)color(blue)(+)color(green)(x)^color(red)(2)color(blue)(+)(color(red)(5)color(blue)(-)color(green)(x))^(color(green)(y))

Constants are red, variables are green, operations are blue.

Sometimes, we can discard multiplication and write xy instead of x times y. This is possible to do, if you really sure that others will not have to guess, what you wrote.

For example, you can write 2x instead of 2*x.

However, you can't write 123 instead of 12 times 3, because you mean 12times3=36, but others see 123.