CarlensW241865 CarlensW241865
  • 03-11-2022
  • Mathematics
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Simplify the expression by combining liketerms:2+4b +3b2+ 2b + 4b² + 1Enter the number that goes in the green box.[?]b²+ []b+ []Enter

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BenjamenP72831 BenjamenP72831
  • 03-11-2022

We are given the expression 2+4b +3b2+ 2b + 4b² + 1 and we are asked to simplify it by combining like terms.

The first step is to identify like terms and group them together.

[tex]\begin{gathered} 2+4b+3b^2+2b+4b²+1 \\ =(3b^2+4b^2)+(4b+2b)+(2+1) \end{gathered}[/tex]

Next, we add the like terms.

[tex]\begin{gathered} (3b^2+4b^2)+(4b+2b)+(2+1) \\ =7b^2+6b+3 \end{gathered}[/tex]

The final answer is 7b² + 6b + 3.

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