%2B(x%5E2%2B3)-2(x%5E2-5)-15x%5E2.jpeg "(6x^2-1)+(x^2+3)-2(x^2-5)-15x^2")
Simplifying Algebraic Expressions: A Step-by-Step Guide
This article will walk you through the process of simplifying the algebraic expression: (6x^2 - 1) + (x^2 + 3) - 2(x^2 - 5) - 15x^2. We'll break down each step to make it easy to follow.
Step 1: Distribute
The first step is to distribute any multiplication. In this case, we need to distribute the -2:
(6x^2 - 1) + (x^2 + 3) - 2(x^2 - 5) - 15x^2 = 6x^2 - 1 + x^2 + 3 - 2x^2 + 10 - 15x^2
Step 2: Combine Like Terms
Now, we need to combine all the terms with the same variable and exponent. Let's group the x^2 terms and the constant terms:
(6x^2 + x^2 - 2x^2 - 15x^2) + (-1 + 3 + 10)
Step 3: Simplify
Finally, perform the addition and subtraction operations:
-10x^2 + 12
Conclusion
The simplified form of the algebraic expression (6x^2 - 1) + (x^2 + 3) - 2(x^2 - 5) - 15x^2 is -10x^2 + 12. By following these steps, you can confidently simplify any algebraic expression.