Simplifying expressions

Original question text:

Hi, I need help with understanding how to simplify algebra expressions. Could you help me out?

Here is one of my questions:

(4xsquared+2x+1)+(x-8)

FIrstly, Algebrator removes the expressions parentheses.

$FIrstly, Algebrator removes the expressions parentheses.$

Algebrator then organizes the expression in groups of like terms.

Explanation for this (or any other) step is just a click away.

$Algebrator then organizes the expression in groups of like terms. Explanation for this (or any other) step is just a click away.$

Finally, Algebrator combines like terms in the expression.

$Finally, Algebrator combines like terms in the expression.$