Question

Simplify the expression by combining liketerms:2+4b +3b2+ 2b + 4b² + 1Enter the number that goes in the green box.[?]b²+ []b+ []Enter

Answer 1

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.

`\begin{gathered} 2+4b+3b^2+2b+4b²+1 \\ =(3b^2+4b^2)+(4b+2b)+(2+1) \end{gathered}`

Next, we add the like terms.

`\begin{gathered} (3b^2+4b^2)+(4b+2b)+(2+1) \\ =7b^2+6b+3 \end{gathered}`

The final answer is 7b² + 6b + 3.