(8a-5)%3D-answer.jpeg "(2a-1)(8a-5)= Answer")
Expanding and Simplifying the Expression (2a-1)(8a-5)
To solve this, we need to expand the expression by using the distributive property, often referred to as FOIL (First, Outer, Inner, Last):
1. First: Multiply the first terms of each binomial: (2a) * (8a) = 16a²
2. Outer: Multiply the outer terms of the binomials: (2a) * (-5) = -10a
3. Inner: Multiply the inner terms of the binomials: (-1) * (8a) = -8a
4. Last: Multiply the last terms of each binomial: (-1) * (-5) = 5
5. Combine like terms: 16a² - 10a - 8a + 5
6. Simplify: 16a² - 18a + 5
Therefore, the expanded and simplified form of (2a-1)(8a-5) is 16a² - 18a + 5.