Question

How do you write `(3x^2 + 7) – (x^2 – 6x + 4)` in standard form?

Answer 1

`2x^2+6x+3`

Explanation:

The minus sign in front of `-(x^2-6x+4)` means that you multiply everything inside the brackets by `(-1)`

So `color(brown)(-(x^2-6x+4)" "color(blue)(->" "-x^2+6x-4)`

`color(green)("Putting it all together")`

`color(brown)((3x^2+7)-(x^2-6x+4)" "color(blue)(->" "3x^2+7-x^2+6x-4)`

`color(green)("Grouping like terms")`

`(3x^2-x^2)+(+6x)+(7-4)" "->" "2x^2+6x+3`