given:
[6m² x 6n² ÷ 9mn ÷ 2m]²
to find:
the simplest form.
solution:
[tex] (\frac{6 {m}^{2} \times (6 {n}^{2} ) \div 9mn {}^{} }{2m} ) {}^{2} [/tex]
[tex] = \binom{ \frac{2 {m}^{2} \times (6 {n}^{2}) }{3mn} }{2m} {}^{2} [/tex]
[tex] = \binom{ \frac{2m \times (2 {n}^{2}) }{n} }{2m} {}^{2} [/tex]
[tex] = ( \frac{m \times (2n)}{m} ) {}^{2} [/tex]
[tex] = (2n {)}^{2} [/tex]
[tex] = 4 {n}^{2} [/tex]
