(x^2-4x-10)+(x^2-9x+3) Simplified

2 min read Jul 03, 2024
(x^2-4x-10)+(x^2-9x+3) Simplified

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!

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