d+14 (13) (n+2)(n^2+5n-3) (14) (3n-1)(2n^2+4n+4) (2n+3)(6n^2-2n+1) (4n-5)(n^2-7n-2) (3n-4)(4n^2+2n+3) (n+8)(6n^2-n-4)

Let's expand each of the given expressions step by step.### (13) \((n+2)(n^2+5n-3)\)Using the distributive property (also known as the FOIL method for binomials): Combine like terms: ### (14) \((3n-1)(2n^2+4n+4)\)Again, using the distributive property: Combine like terms: ### \((2n+3)(6n^2-2n+1)\)Using the distributive property: Combine like terms: ### \((4n-5)(n^2-7n-2)\)Using the distributive property: Combine like terms: ### \((3n-4)(4n^2+2n+3)\)Using the distributive property: Combine like terms: ### \((n+8)(6n^2-n-4)\)Using the distributive property: Combine like terms: So, the expanded forms of the given expressions are:1. \((n+2)(n^2+5n-3) = n^3 + 7n^2 + 7n - 6\)2. \((3n-1)(2n^2+4n+4) = 6n^3 + 10n^2 + 8n - 4\)3. \((2n+3)(6n^2-2n+1) = 12n