(2x-4)-answer.jpeg "(2x+3)(2x-4) Answer")
Simplifying (2x+3)(2x-4)
This expression represents the product of two binomials. To simplify it, we can use the FOIL method. FOIL stands for First, Outer, Inner, Last, which describes the order in which we multiply the terms of the binomials.
Here's how it works:
1. First: Multiply the first terms of each binomial. (2x) * (2x) = 4x²
2. Outer: Multiply the outer terms of the binomials. (2x) * (-4) = -8x
3. Inner: Multiply the inner terms of the binomials. (3) * (2x) = 6x
4. Last: Multiply the last terms of each binomial. (3) * (-4) = -12
Now we have: 4x² - 8x + 6x - 12
5. Combine Like Terms: Combine the terms with 'x' together. 4x² - 2x - 12
Therefore, the simplified form of (2x+3)(2x-4) is 4x² - 2x - 12.