Question

Simplify. (2x^5+x^3−3x^4−x+8)−(7x^5+2x^4−12+6x−5x^3+x^2) Enter your answer, in standard form, in the box.

Answer 1

-5x^5 -5x^4 +6x^3 -x^2 -7x +20

Explanation:

(2x^5+x^3−3x^4−x+8)−(7x^5+2x^4−12+6x−5x^3+x^2)

Distribute the minus sign

(2x^5+x^3−3x^4−x+8)−7x^5-2x^4+12-6x+5x^3-x^2

Put them in order from largest exponent to smallest exponent

2x^5−7x^5−3x^4-2x^4+5x^3+x^3-x^2-6x−x+8+12

Combine like terms

-5x^5 -5x^4 +6x^3 -x^2 -7x +20

Standard form is from largest exponent to smallest exponent