The equation is b³(7b-5) + 4
Explanation:
Given:
(8b⁴ - b³) - (b⁴ + 4b³ - 4)
We need to simplify the equation
[tex]=8b^4 - b^3 - b^4 - 4b^3 + 4\\\\= 7b^4 - 5b^3 + 4\\\\= b^3(7b - 5) + 4[/tex]
During subtraction while opening the brackets, the sign of the variables gets reversed.
- becomes + and + becomes -
Thus, the simplified equation is b³(7b-5) + 4