This is a polynomial expression that represents the multiplication of two binomials: (2x+3)(3x + 5). To multiply these binomials, you can use the FOIL method, which stands for "First, Outer, Inner, Last."
- First: Multiply the first term of each binomial: 2x * 3x = 6x^2
- Outer: Multiply the outer terms of each binomial: 2x * 5 = 10x
- Inner: Multiply the inner terms of each binomial: 3 * 3x = 9x
- Last: Multiply the last term of each binomial: 3 * 5 = 15
Then, combine the like terms:
(2x+3)(3x + 5) = 6x^2 + 10x + 9x + 15
Simplifying the expression by combining the like terms:
(2x+3)(3x + 5) = 6x^2 + 19x + 15