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Mathematics is a language, also a formal science but when it comes to algebra, we can express a mathematical expression verbally or algebraically. Whenever we use either of those two options we must take in consideration that the operations are called in a lil' different way: - Addition is called "sum" - Subtraction is called "difference". -Division is called "quotient" - multiplication is called "product". Those are the basic ones when it comes to a verbally expressed mathematical expression. But when we express something algebraically, meaning an "algebraic" form of expressing a mathematical expression is by "factorizing", or in other words, doing the required operations to get the reduced version of it, and that'll be an algebraic expression of an initial one. As an example: \[5(4n-5)+n(6+7n)\] If I would to express it verbally, it would be: "the sum of the product between 5 and the difference of 4 times n and 5 and the product between 'n' and the sum of 6 and 7 times n". As you can see, I started with the "sum" in an attempt to make it clear that they are two separate terms of the expression. I I were to express in algebraically, I would just do the required operations, which in this case is distibutive property: \[5(4n-5)+n(6+7n)\] \[20n-25+6n+7n^2\] and ordering it up: \[7n^2+26n-25\] And that is the "algebraic" expression of the example.
where did that come from?