(x+5)(x-4) Simplify

Jasonbradley

less than a minute read

·

Jun 17, 2024

19

Share

Simplifying (x+5)(x-4)

This expression represents the product of two binomials: (x+5) and (x-4). To simplify it, we can use the FOIL method.

FOIL stands for First, Outer, Inner, Last, which helps us remember the steps for multiplying binomials:

1. First: Multiply the first terms of each binomial: x * x = x²
2. Outer: Multiply the outer terms of the binomials: x * -4 = -4x
3. Inner: Multiply the inner terms of the binomials: 5 * x = 5x
4. Last: Multiply the last terms of each binomial: 5 * -4 = -20

Now, combine the results: x² - 4x + 5x - 20

Finally, combine the like terms: x² + x - 20

Therefore, the simplified form of (x+5)(x-4) is x² + x - 20.