Question

[6m² x 6n² ÷ 9mn ÷ 2m]² ??

I need to simplify this expression
please help with working out so I can understand. Thanks!​

Answer 1

4n^2.

Explanation:

Working from left to right in the square parentheses:-

[6m² x 6n² ÷ 9mn ÷ 2m]²

= [(36m^2n^2 / 9mn) / 2m]^2

= (4mn / 2m)^2

= (2n)^2

= 4n^2.

Answer 2

given:

[6m² x 6n² ÷ 9mn ÷ 2m]²

to find:

the simplest form.

solution:

`(\frac{6 {m}^(2) * (6 {n}^(2) ) / 9mn {}^{} }{2m} ) {}^(2)`

`= \binom{ \frac{2 {m}^(2) * (6 {n}^(2)) }{3mn} }{2m} {}^(2)`

`= \binom{ \frac{2m * (2 {n}^(2)) }{n} }{2m} {}^(2)`

`= ( (m * (2n))/(m) ) {}^(2)`

`= (2n {)}^(2)`

`= 4 {n}^(2)`