(x-3)(x+8)+(2x-x^2)

2 min read Jun 17, 2024

Simplifying the Expression (x-3)(x+8)+(2x-x^2)

This article will guide you through simplifying the given expression: (x-3)(x+8)+(2x-x^2). We will break down each step and explain the concepts involved.

Step 1: Expanding the First Term

The first term in the expression is (x-3)(x+8). This is a product of two binomials, and we can expand it using the FOIL method (First, Outer, Inner, Last):

First: x * x = x²
Outer: x * 8 = 8x
Inner: -3 * x = -3x
Last: -3 * 8 = -24

Combining these terms, we get: x² + 8x - 3x - 24

Step 2: Simplifying the Expanded Term

The expanded first term can be simplified by combining the like terms (8x and -3x):

x² + 5x - 24

Step 3: Combining the Terms

Now, we have: x² + 5x - 24 + (2x - x²)

To combine the terms, we can rearrange them:

x² - x² + 5x + 2x - 24

Step 4: Simplifying the Final Expression

Finally, we combine the like terms:

7x - 24

Conclusion

Therefore, the simplified form of the expression (x-3)(x+8)+(2x-x^2) is 7x - 24.