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KatRina [158]
2 years ago
6

Expand and fully simplify 3(x + 1) + 2(3x + 4)​

Mathematics
1 answer:
mrs_skeptik [129]2 years ago
4 0

Answer:

  • \Large\boxed{\sf{9x+11}}

Step-by-step explanation:

<u>Given:</u>

Isolate the term of x from one side of the equation.

Use the distributive property.

<u>DISTRIBUTIVE PROPERTY:</u>

\Longrightarrow: \sf{A(B+C)=AB+AC}

Each term within the parentheses can be multiplied by a factor outside the parentheses.

3(x+1)

3*x=3x

3*1=3

<u>Rewrite the expression down.</u>

3x+3

3x+3+2(3x+4)

<u>Multiply expand.</u>

2(3x+4)

2*3x=6x

2*4=8

6x+8

3x+3+6x+8

<u>Combine like terms.</u>

3x+6x+3+8

<u>Add the numbers from left to right.</u>

3+8=11

3x+6x+11

<u>Add.</u>

<u>Solutions:</u>

3x+6x=9x

\Longrightarrow: \boxed{\sf{9x+11}}

  • <u>Therefore, the final answer is 9x+11.</u>

I hope this helps. Let me know if you have any questions.

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