Subtract and write in standard form

(8x - 6x3 + 5x2) - (2x2 + 2x - 7x3)

x^3 + 3x^2 + 6x

Step-by-step explanation:

Eliminate parentheses using the distributive property. Collect terms. Standard form has the exponents decreasing.

= 8x - 6x^3 + 5x^2 - 2x^2 - 2x + 7x^3

= x^3 (-6 + 7) + x^2 (5 - 2) + x (8 - 2)

= x^3 + 3x^2 + 6x