Question

How much greater is `(17x^2 + 20x + 11) + (15x^2 + 11x + 17)`?

Answer 1

answer 1: `= color(red)(2x^2 + 9x -6`
answer 2: `= color(red)(32x^2) + color(blue)(31x) + 28`

Explanation:

There are two ways of interpreting this question:

• How much greater is `(17x^2+20x+11)`than `(15x^2+11x+17)`

Here we need to subtract:
`17x^2+20x+11`
`color(red)(-)15x^2color(red)(-)11xcolor(red)(-)17`
`= color(red)(2x^2 + 9x -6`

• The second way of interpreting is by adding as the addition sign `+` has been used in the question

Grouping like terms:
`= color(red)((17x^2 + 15x^2)) + color(blue)((20x+11x)) + (17 +11)`
`= color(red)(32x^2) + color(blue)(31x) + 28`