1. **State the problem:** Simplify the algebraic expression $$2ab(7a^4b^2 + a^5b - 2a)$$. 2. **Distribute** $2ab$ to each term inside the parentheses: $$2ab \times 7a^4b^2 = 14a^{1+4}b^{1+2} = 14a^5b^3$$ $$2ab \times a^5b = 2a^{1+5}b^{1+1} = 2a^6b^2$$ $$2ab \times (-2a) = -4a^{1+1}b = -4a^2b$$ 3. **Write the simplified expression:** $$14a^5b^3 + 2a^6b^2 - 4a^2b$$ **Final answer:** $$14a^5b^3 + 2a^6b^2 - 4a^2b$$