Question

How do you simplify `3x^2 − 6x^3 + 5x^4 −10x^2 − 8x^3 + 7`?

Answer 1

`= 5x^4 color(blue)(-14x^3) color(red)(-7x^2) +7`

Explanation:

`3x^2 − 6x^3 + 5x^4 −10x^2 − 8x^3 + 7`

Grouping like terms
`5x^4 + color(blue)((- 6x^3 - 8x^3)) + color(red)((3x^2 - 10x^2)) + 7`

Arranging in order of the powers
`= 5x^4 color(blue)(-14x^3) color(red)(-7x^2) +7`