Find the sum:
(x2 + 2x +1) + (4x2 + 5x + 3)
Step 1. Remove parentheses.
Step 2. Add like terms; i.e., add the X^2 terms, the x terms and the number terms.
To find the sum, you need to combine like terms. Like terms are terms that have the same variable raised to the same exponent.
The given expression is:
(x^2 + 2x + 1) + (4x^2 + 5x + 3)
First, you can group the like terms together. Let's group the terms with x^2 first:
(x^2 + 4x^2) + (2x + 5x) + (1 + 3)
Now you can simplify each group of like terms:
5x^2 + 7x + 4
So the sum of (x^2 + 2x + 1) and (4x^2 + 5x + 3) is 5x^2 + 7x + 4.