Sure! The very first step in this process is to look for a common factor present in both terms of the provided expression. Here, the common factors are (x+1)⁷ and (x-2)⁶.
Then, you rewrite the expression pulling out the common factor, which gives you:
(x+1)⁷(x-2)⁶ * [8(x-2) + 7(x+1)]
Next, distribute the 8 and the 7 into the brackets:
(x+1)⁷(x-2)⁶ * [8x - 16 + 7x + 7]
Simplify the equation by combining the like terms:
(x+1)⁷(x-2)⁶ * [15x - 9]
After factoring, the final form of the original equation is:
3(x+1)⁷(x-2)⁶(5x - 3)
This form of the equation clearly displays the common factors and simplifies the original polynomial.