HOW TO SOLVE THIS?????

(a−b)^5 = a^5 − 5a⁴b¹ + 10a³b² − 10a²b³ + 5a¹b⁴− b^5
So, a^5 − b^5
= (a−b)^5 + 5a⁴b¹ − 10a³b² + 10a²b³ − 5a¹b⁴
= (a−b)^5 + 5ab(a³−2a²b+2ab²−b³)
= (a−b)^5 + 5ab(a³−b³−2a²b+2ab²)
= (a−b)^5 + 5ab[(a−b)³+3a²b−3ab²−2a²b+2ab²]
= (a−b)^5 + 5ab[(a−b)³+a²b−ab²]
= (a−b)^5 + 5ab[(a−b)³+ab(a−b)]
= (a−b)^5 + 5ab(a−b)[(a−b)²+ab]
= (a−b)^5 + 5ab(a−b)[a²−ab+b²]
= (a−b) [(a−b)^4 + 5ab(a²−ab+b²)]
So, (a^5−b^5)/(a−b)
= (a−b)^4 + 5ab(a²−ab+b²)
= a⁴+ a³b + 11a²b² + ab³ + b⁴.

a^5-b^5/a-b
=a^4+a^3b+a^2b^2+ab^3+b^4 this by actual division

a^n - b^n ≡ (a - b)[a^(n - 1)b^0 + a^(n - 2)b^1 + a^(n - 3)b^2 + ... + a^(n - n + 1)b^(n - 2) + a^(n - n)b^(n - 1)]

(a^5 - b^5)/(a - b)
= [(a - b)(a^4 + a^3b + a^2b^2 + ab^3 + b^4)]/(a - b)
= a^4 + a^3b + a^2b^2 + ab^3 + b^4

You don't have to capitalize everything ...
(a^5 - b ^5) / (b-a) = a^4 + a^3*b + a^2*b^2 +a*b^3 + b^4

You need to use parentheses. Can't tell if you mean
a⁵ - (b⁵/a) - b
or
(a⁵ - b⁵)/(a - b)
or
((a⁵ - b⁵)/a) - b)
etc.