Answer
$2y^{2} +13y+15$.
Work Step by Step
$(2y+3)(y+5)$
1. Multiply the first terms of each bracket together. $(2y)(y) =2y^{2}$
2. Multiply the outermost terms of each bracket together. $(2y)(5) = 10y$
3. Multiply the innermost terms of each bracket together. $(3)(y) = 3y$
4. Multiply the last terms of each bracket together. $(3)(5) = 15$
5. Add all answers from steps 1-4 to get $2y^{2} +10y+3y+15$.
6. Collect like terms to get $2y^{2} +13y+15$.
