Question

Which expressions are equivalent to 3(6+b)-(2b + 1)?

Select two answers.
Step 1 - Use the distributive property and pick your first answer
Step 2 - Combine like terms and pick your second answer.

Answer 1

18+3b-2b-1

b+17

Explanation:

`\mathrm{Using\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b`

`-\left(2b+1\right)=-2b-1`

`=3\left(6+b\right)-2b-1`

`=18+3b-2b-1`

`\mathrm{Group\:like\:terms}`

`=3b-2b+18-1`

`\mathrm{Subtract\:the\:numbers:}\:18-1=17`

`=3b-2b+17`

`\mathrm{Add\:similar\:terms:}\:3b-2b=b`

`=b+17`

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