1. Use the distributive property (also known as FOIL for binomials) to simplify the expression (8g+1)(5g-6):
- First: Multiply the first terms: 8g \cdot 5g = 40g^2
- Outer: Multiply the outer terms: 8g \cdot (-6) = -48g
- Inner: Multiply the inner terms: 1 \cdot 5g = 5g
- Last: Multiply the last terms: 1 \cdot (-6) = -6
2. Combine the like terms:
40g^2 - 48g + 5g - 6 = 40g^2 - 43g - 6
3. The simplified form of the expression is:
40g^2 - 43g - 6
Answer: 40g^2 - 43g - 6