Question

Use properties of operations to simplify 5s(3+s)-(2s+10)

Answer 1

`5s^2 +13s-10`

Explanation:

Given the expression

`5s(3+s)-(2s+10)`

First, use distributive property:

`5s(3+s)=5s\cdot 3+5s\cdot s=15s+5s^2\\ \\-(2s+10)=(-1)\cdot (2s+10)=(-1)\cdot 2s+(-1)\cdot 10=-2s-10`

Now, the given expression is equivalent to the following expression:

`15s+5s^2-2s-10`

Rewrite this expression using commutative property:

`5s^2+15s-2s-10\\ \\=5s^2 +13s-10 \ [\text{Add the like terms}]`