Question

Simplify the following expression: (5x2 3x 4) − (2x2 − 6x 3). If the final answer is written in the form Ax2 Bx C, what is the value of B

Answer 1

The simplified expression is
`\[3x^2 + 9x + 7\]`. Thus, the value of B is 9.

Simplification of expressions

To simplify the expression
`\((5x^2 + 3x + 4) - (2x^2 - 6x - 3)\)`, distribute the negative sign to each term inside the parentheses:

`\[5x^2 + 3x + 4 - 2x^2 + 6x + 3\]`

Combine like terms:

`\[(5x^2 - 2x^2) + (3x + 6x) + (4 + 3)\]`

`\[3x^2 + 9x + 7\]`

Now, express the result in the form
`\(Ax^2 + Bx + C\)`. The value of B is the coefficient of the linear term:

`\[B = 9\]`

So, the value of B is 9.