(3x-5)-simplify.jpeg "(2x-3)(3x-5) Simplify")
Simplifying (2x-3)(3x-5)
This expression represents the product of two binomials: (2x-3) and (3x-5). To simplify it, we can 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.
Let's apply this to our expression:
(2x-3)(3x-5)
F: (2x)(3x) = 6x² O: (2x)(-5) = -10x I: (-3)(3x) = -9x L: (-3)(-5) = 15
Now, combine the terms:
6x² - 10x - 9x + 15
Finally, combine the like terms:
6x² - 19x + 15
Therefore, the simplified form of (2x-3)(3x-5) is 6x² - 19x + 15.