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[6m² x 6n² ÷ 9mn ÷ 2m]² ??

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

Sagot :

Answer:

4n^2.

Step-by-step 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.

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]

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