(2x+5)(3x+4) Simplify

2 min read Jun 16, 2024

Simplifying the Expression (2x + 5)(3x + 4)

This article will guide you through simplifying the expression (2x + 5)(3x + 4).

Understanding the Process

The expression (2x + 5)(3x + 4) represents the product of two binomials. To simplify it, we will use 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 the FOIL Method

First: (2x) * (3x) = 6x²
Outer: (2x) * (4) = 8x
Inner: (5) * (3x) = 15x
Last: (5) * (4) = 20

Combining Like Terms

Now, we have: 6x² + 8x + 15x + 20

Combining the 'x' terms, we get: 6x² + 23x + 20

Final Simplified Expression

Therefore, the simplified form of (2x + 5)(3x + 4) is 6x² + 23x + 20.

Conclusion

Simplifying algebraic expressions is a crucial skill in mathematics. Understanding the FOIL method and combining like terms allows us to manipulate expressions and obtain a more concise form.