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

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Answer 1 · 2015-06-18T12:39:44

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

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

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

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

How do you simplify 3x^2 − 6x^3 + 5x^4 −10x^2 − 8x^3 + 73x^2 − 6x^3 + 5x^4 −10x^2 − 8x^3 + 7?