How do you simplify 3x^2 − 6x^3 + 5x^4 −10x^2 − 8x^3 + 73x2−6x3+5x4−10x2−8x3+7?

1 Answer
Don't Memorise
Jun 18, 2015

= 5x^4 color(blue)(-14x^3) color(red)(-7x^2) +7=5x4−14x3−7x2+7

Explanation:

3x^2 − 6x^3 + 5x^4 −10x^2 − 8x^3 + 73x2−6x3+5x4−10x2−8x3+7

Grouping like terms
5x^4 + color(blue)((- 6x^3 - 8x^3)) + color(red)((3x^2 - 10x^2)) + 75x4+(−6x3−8x3)+(3x2−10x2)+7

Arranging in order of the powers
= 5x^4 color(blue)(-14x^3) color(red)(-7x^2) +7=5x4−14x3−7x2+7

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