Simplifying the Expression: (x^2-4x-10)+(x^2-9x+3)
When we are given two algebraic expressions and asked to add them, we need to follow the correct order of operations and combine like terms. In this case, we have:
(x^2-4x-10)+(x^2-9x+3)
To simplify this expression, we will start by combining the like terms.
Step 1: Combine the x^2 terms
We have two terms with x^2: x^2 and x^2. Since they are the same, we can add their coefficients:
2x^2
Step 2: Combine the x terms
We have two terms with x: -4x and -9x. We can add their coefficients:
-13x
Step 3: Combine the constant terms
We have two constant terms: -10 and 3. We can add them:
-7
Now, let's put everything together:
(x^2-4x-10)+(x^2-9x+3) = 2x^2 - 13x - 7
And that's the simplified expression!