Question

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

Answer 1

Answer:

18+3b-2b-1

b+17

Step-by-step explanation:

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

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

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

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

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

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

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

$=3b-2b+17$

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

$=b+17$

[RevyBreeze]