essencewarrenmu
essencewarrenmu essencewarrenmu
  • 26-04-2019
  • Mathematics
contestada

Simplify the expression (use distributive property)
4+2(3x-1)+9

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

Respuesta :

Аноним Аноним
  • 26-04-2019

Answer:

[tex]\boxed{\bold{6x \ + \ 11}}[/tex]

Step By Step Explanation:

  • Expand [tex]\bold{2\left(3x-1\right)}[/tex]

Apply Distributive Law: [tex]\bold{\:a\left(b-c\right)=ab-ac}[/tex]

[tex]\bold{a=2,\:b=3x,\:c=1}[/tex]

= [tex]\bold{2\cdot \:3x-2\cdot \:1}[/tex]

Simplify [tex]\bold{2\cdot \:3x-2\cdot \:1}[/tex]

= [tex]\bold{6x-2}[/tex]

  • Rewrite Equation:

[tex]\bold{4+6x-2+9}[/tex]

Group Like Terms

[tex]\bold{6x+4-2+9}[/tex]

Add / Subtract: [tex]\bold{4-2+9=11}[/tex]

= [tex]\bold{6x+11}[/tex]

  • Final Answer

[tex]\bold{6x+11}[/tex]

- Mordancy

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