(4x-5).jpeg "(2x+3)(4x-5)")
Expanded Form of (2x+3)(4x-5)
In this article, we will explore the expanded form of the algebraic expression (2x+3)(4x-5). To find the expanded form, we need to multiply the two binomials using the distributive property.
Step 1: Multiply the Two Binomials
To multiply the two binomials, we need to multiply each term in the first binomial with each term in the second binomial.
(2x+3)(4x-5) = ?
- Multiply 2x with 4x:
2x * 4x = 8x^2 - Multiply 2x with -5:
2x * -5 = -10x - Multiply 3 with 4x:
3 * 4x = 12x - Multiply 3 with -5:
3 * -5 = -15
Step 2: Combine Like Terms
Now, let's combine the like terms:
8x^2 - 10x + 12x - 15
Step 3: Simplify the Expression
Combine the like terms:
8x^2 + 2x - 15
And that's it! The expanded form of (2x+3)(4x-5) is 8x^2 + 2x - 15.
Conclusion
In this article, we have successfully expanded the expression (2x+3)(4x-5) to get 8x^2 + 2x - 15. This expanded form can be used in various mathematical operations and applications.
