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

Expand and distribute algebraic expressions using FOIL and distribution.

Expression

Answer

6x^2 + 13x − 5

To expand (3x-1)(2x+5), use the FOIL method — multiply each term in the first binomial by each term in the second, then combine like terms.

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

Step 1 — Apply the FOIL method

FOIL stands for First, Outer, Inner, Last — multiply each pair of terms:

First: 3x · 2x = 6x²

Outer: 3x · 5 = 15x

Inner: -1 · 2x = -2x

Last: -1 · 5 = -5

Step 2 — Add all products and combine like terms

Write out all four products:

6x² + 15x − 2x − 5

Combine the like terms:

15x − 2x = 13x

= 6x² + 13x − 5

6x² + 13x − 5

How to expand (3x-1)(2x+5)

To expand (3x-1)(2x+5), distribute each term across the other factor and combine like terms. The result is 6x^2 + 13x − 5.

This is a algebraic expansion — we multiply out brackets and simplify. For binomials, the FOIL method (First, Outer, Inner, Last) is commonly used.

Frequently asked questions

What is the answer to (3x-1)(2x+5)?
The answer is 6x^2 + 13x − 5.

What method is used?
the distributive property (FOIL for two binomials) — multiply each term in one factor by every term in the other, then combine like terms.