Factorization of m ^ 2-25n ^ 2
The original formula = M & # 178; - (5N) 178;
=(m+5n)(m-5n)
16/9m^2-4/25n^2
According to the square difference formula
Original formula = (4m / 3 + 2n / 5) (4m / 3-2n / 5)
Factorization (A-1) (a + 1) (a + 3) (a + 5) + 16
(a-1)(a+1)(a+3)(a+5)+16
=[(a-1)(a+5)][(a+1)(a+3)]+16
=(a^2+4a-5)(a^2+4a+3)+16
=(a^2+4a)^2-2(a^2+4a)-15+16
=(a^2+4a-1)^2
=(a-√5+2)^2(a+√5+2)^2