Question

Simplify the expression (use distributive property)

4+2(3x-1)+9

A) 6x+15
B) 6x+11
C) 5x+14
D) 3x+14

Answer 1

`\boxed{\bold{6x \ + \ 11}}`

Step By Step Explanation:

• Expand
  `\bold{2\left(3x-1\right)}`

Apply Distributive Law:
`\bold{\:a\left(b-c\right)=ab-ac}`

`\bold{a=2,\:b=3x,\:c=1}`

=
`\bold{2\cdot \:3x-2\cdot \:1}`

Simplify
`\bold{2\cdot \:3x-2\cdot \:1}`

=
`\bold{6x-2}`

• Rewrite Equation:

`\bold{4+6x-2+9}`

Group Like Terms

`\bold{6x+4-2+9}`

Add / Subtract:
`\bold{4-2+9=11}`

=
`\bold{6x+11}`

• Final Answer

`\bold{6x+11}`

- Mordancy