(5x-1)(3x+2) Simplify

2 min read Jun 16, 2024

Simplifying (5x-1)(3x+2)

In this article, we will learn how to simplify the expression (5x-1)(3x+2). This process involves applying the distributive property, often referred to as FOIL (First, Outer, Inner, Last).

Understanding the FOIL Method

The FOIL method is a mnemonic device used to remember the steps for multiplying two binomials.

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 the FOIL Method

Let's apply the FOIL method to simplify (5x-1)(3x+2):

First: (5x) * (3x) = 15x²
Outer: (5x) * (2) = 10x
Inner: (-1) * (3x) = -3x
Last: (-1) * (2) = -2

Now we have: 15x² + 10x - 3x - 2

Combining Like Terms

The final step is to combine the like terms:

15x² + 7x - 2

Conclusion

Therefore, the simplified form of the expression (5x-1)(3x+2) is 15x² + 7x - 2.