Question

$( \frac{3p}{2q} + \frac{2q}{3p} )^{2}$


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Answer 1

hope it helps you

the picture above may help

Answer 2

Step-by-step explanation:

To find ---> Value of ( 3p / 2q + 2q / 3p )²

Solution---> We have an identity

( a + b )² = a² + b² + 2ab

Applying this identity here we get

(3p / 2q + 2q / 3p )²

= ( 3p/2q )² +(2q/3p )² + 2(3p/2q)(2q/3p)

= 9p²/4q² + 4q² /9p² + 2

Other additional identities --->

1) (a - b )² = a² + b² - 2ab

2) a² - b² = ( a + b ) (a - b )

3)(a + b + c )² = a²+b²+c²+2ab+2bc+2ca

4)a³ + b³ = (a + b ) (a² + b² - ab )

5) a³ - b³ = (a - b ) ( a² + b² + ab )

6)( a + b )³=a³ + b³ +3ab (a + b)

7)(a - b )³ = a³ - b³ - 3ab ( a - b )