Question

Simplify (3n – 2m)2 = ?

A. 9n2 – 12mn – 4m2
B. 9n2 + 12mn + 4m2
C. 6n2 – 12mn – 4m2
D. 9n2 – 12mn + 4m2

Answer 1

°° Let's see -

(3n - 2m) ^2 is equal to (3n - 2m) (3n - 2m) =

9n ^2 - 6mn - 6mn + 4m ^2 =

9n ^2 - 12mn + 4m ^2

So, therefore, choice D) 9n ^2 - 12mn + 4m ^2 is the correct answer. :)

↑ ↑ ↑ Hope this helps! :D

Answer 2

`(3n - 2m)^2 \\ \\ (3n)^2 - 2 * 3n * 2m + (2m)^2 \\ \\ 3^2n^2 - 2 * 3n * 2m + (2m)^2 \\ \\ 9n^2 - 2 * 3n * 2m + (2m)^2 \\ \\ 9n^2 - 2 * 3n * 2m + 2^2m^2 \\ \\ 9n^2 - 2 * 3n * 2m + 4m^2 \\ \\ 9n^2 - 12mn + 4m^2`

The final result would be, D) 9n² - 12mn + 4m².