\[ (7 w+5)\left(4 w^{2}-w-3\right) \] Simpily your anower.

To simplify the expression \((7w + 5)(4w^2 - w - 3)\), we will use the distributive property, also known as the FOIL method for binomials: 1. Multiply \(7w\) by each term in the second expression: - \(7w \cdot 4w^2 = 28w^3\) - \(7w \cdot (-w) = -7w^2\) - \(7w \cdot (-3) = -21w\) 2. Multiply \(5\) by each term in the second expression: - \(5 \cdot 4w^2 = 20w^2\) - \(5 \cdot (-w) = -5w\) - \(5 \cdot (-3) = -15\) 3. Combine all the terms: - \(28w^3 + (-7w^2 + 20w^2) + (-21w - 5w) - 15\) 4. Simplify the like terms: - Combine the \(w^2\) terms: \(-7w^2 + 20w^2 = 13w^2\) - Combine the \(w\) terms: \(-21w - 5w = -26w\) Now, the expression is: \[ 28w^3 + 13w^2 - 26w - 15 \] And there you have it! The simplified expression is \(28w^3 + 13w^2 - 26w - 15\). Enjoy your math journey!