Simplify. Please show all work.
6b^2 - 4b + 3b^4 - (7b^3 + b^4 - 4b)
6b^2 - 4b + 3b^4 - (7b^3 + b^4 - 4b) = 6b^2 - 4b + 3b^4 - 7b^3 - b^4 + 4b
Combine like terms.
To simplify the expression 6b^2 - 4b + 3b^4 - (7b^3 + b^4 - 4b), we can distribute the negative sign to the terms inside the parentheses, and then combine like terms.
First, let's distribute the negative sign to the terms inside the parentheses:
6b^2 - 4b + 3b^4 - 7b^3 - b^4 + 4b
Now, let's combine like terms:
Combine the b^4 terms: 3b^4 - b^4 = 2b^4
Combine the b^3 terms: -7b^3
Combine the b terms: -4b + 4b = 0
The simplified expression is: 2b^4 - 7b^3