(3x-5)-expand-and-simplify.jpeg "(2x-3)(3x-5) Expand And Simplify")
Expanding and Simplifying (2x - 3)(3x - 5)
This article will guide you through the process of expanding and simplifying the algebraic expression (2x - 3)(3x - 5).
Understanding the Process
The expression (2x - 3)(3x - 5) represents the product of two binomials. To expand and simplify this expression, we will use the FOIL method.
FOIL stands for:
- 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.
Expanding the Expression
Let's apply the FOIL method step-by-step:
- First: (2x) * (3x) = 6x²
- Outer: (2x) * (-5) = -10x
- Inner: (-3) * (3x) = -9x
- Last: (-3) * (-5) = 15
Simplifying the Expression
Now we have: 6x² - 10x - 9x + 15
Combining the like terms (-10x and -9x):
6x² - 19x + 15
Final Result
Therefore, the expanded and simplified form of (2x - 3)(3x - 5) is 6x² - 19x + 15.