Question

[(M^2N^2-MN)(M^2N^2+MN)]/MN

Answer 1

Explanation:

M²N² - MN = MN (MN - 1)

M²N² + MN = MN (MN + 1)

`((M^(2)N^(2)-MN)(M^(2)N^(2)-MN))/(MN)= (MN(MN-1) * MN(MN + 1))/(MN)\\`

= (MN - 1) * MN * (MN + 1)

= (MN - 1)(MN +1) MN {(a+ b)(a - b) = a² - b² }

= (M²N² - 1²) * MN

= (M²N² - 1)MN