adding and subtracting polynomials

Question

Simplify each expression

 

(5d^2-2d^4-9d)-(4d^2+3d^3)+(7d^3+8d^4+6d^2)

Answer 1

First, distribute the negative in front of the second expression and rewrite the entire expression without parentheses:

 

5d² - 2d⁴ - 9d - 4d² - 3d³ + 7d³ + 8d⁴ + 6d²

 

Now, add like terms (the degree indicates like terms):

 

6d⁴ + 4d³ + 7d² - 9d