(x-5)(x+2) Multiply

less than a minute read Jun 17, 2024

Multiplying (x-5)(x+2)

This article will guide you through multiplying the expression (x-5)(x+2).

Understanding the Process

The expression (x-5)(x+2) represents the product of two binomials. To multiply binomials, we use the distributive property, often referred to as the FOIL method:

First: Multiply the first terms of each binomial.
Outer: Multiply the outer terms of the binomials.
Inner: Multiply the inner terms of the binomials.
Last: Multiply the last terms of each binomial.

Applying FOIL

First: (x) * (x) = x²
Outer: (x) * (2) = 2x
Inner: (-5) * (x) = -5x
Last: (-5) * (2) = -10

Combining Like Terms

Now we have: x² + 2x - 5x - 10

Combine the like terms (2x and -5x):

x² - 3x - 10

Final Result

Therefore, the product of (x-5)(x+2) is x² - 3x - 10.