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what's the answer to this question= 4(3x + 2) + 2(x + 3)
A. 12x + 16
B. 24x + 48
C. 10x + 2
D. 14x2 + 48
E. 14x + 14
F. 9x2 + 5

Respuesta :

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{14x + 14}}}}[/tex]

Option E is the best choice.

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Question : Simplify

  • 4 ( 3x + 2 ) + 2 ( x + 3 )

Available options :

☐ 12x + 16

24x + 48

10x + 2

☐ 14x + 48

☑ 14x + 14

☐ 9x + 5

Step - by - step explanation :

  • [tex] \sf{4(3x + 2) + 2(x + 3)}[/tex]

Distribute 4 through the parentheses

[tex] \dashrightarrow{ \sf{12x + 8 + 2(x + 3)}}[/tex]

Distribute 2 through the parentheses

[tex] \dashrightarrow{ \sf{12x + 8 + 2x + 6}}[/tex]

Combine like terms. Only coefficients of like terms can be added or subtracted

[tex] \dashrightarrow{ \sf{12x + 2x + 8 + 6}}[/tex]

[tex] \dashrightarrow{ \sf{14x + 8 + 6}}[/tex]

Add the numbers : 8 and 6

[tex] \dashrightarrow{ \boxed{ \sf{14x + 14}}}[/tex]

Hope I helped!

Have a wonderful time ツ

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