Question 28

Simplify the expression
(-10p^3 - 10p^5 + 3p^4) - (p^4 + 3p^5 - 4p^2)

To simplify the expression, first distribute the negative sign inside the parentheses:

(-10p^3 - 10p^5 + 3p^4) - (p^4 + 3p^5 - 4p^2)
= -10p^3 - 10p^5 + 3p^4 - p^4 - 3p^5 + 4p^2

Combine like terms:

= -10p^5 - 3p^5 + 3p^4 - p^4 - 10p^3 + 4p^2
= -13p^5 + 2p^4 - 10p^3 + 4p^2

Therefore, the simplified expression is -13p^5 + 2p^4 - 10p^3 + 4p^2.