Question

Find the square of 2m^2 - 2/3n^2

Answer 1

4m^4 - 8/3m^2 n^2 + 4/9n^4

Explanation:

(2m^2 - 2/3n^2)(2m^2 - 2/3n^2)

= 2m^2(2m^2 - 2/3n^2) - 2/3n^2(2m^2 - 2/3n^2)

= 4m^4 - 4/3m^2 n^2 - 4/3m^2n^2 + 4/9n^4

= 4m^4 - 8/3m^2 n^2 + 4/9n^4