perform the opertaion and write the result in standard form...
(2x^2 + 1) - (x^2 - 2x + 1)
all the signs change in the last grouping symbol
2x^2+1-x^2+2x-1
group...
2x^2-x^2 + 2x +1-1
now combine like terms, and you are done.
To perform the operation and write the result in standard form, we need to simplify the expression by combining like terms.
Given expression: (2x^2 + 1) - (x^2 - 2x + 1)
Let's start by removing the parentheses. Remember to distribute the negative sign across the terms inside the second set of parentheses:
2x^2 + 1 - x^2 + 2x - 1
Now, let's combine like terms by adding or subtracting the coefficients of the same degree of x:
(2x^2 - x^2) + (2x) + (1 - 1)
Simplifying further:
x^2 + 2x
The result of the operation, written in standard form, is x^2 + 2x.