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Alex_Xolod [135]
4 years ago
15

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

Mathematics
1 answer:
elena-s [515]4 years ago
5 0

Answer:

5s^2 +13s-10

Step-by-step 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}]

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