Question

(5x + 2y )² + ( 5x -2y)² ​

Answer 1

Answer:

( 5x+2y+5x-2y)²- 2(25x²-4y²)

=> (10x)²-2(25x²-4y²)

=> 100x²-50x²+8y²

=> 50x²+8y²

=> ans.

Answer 2

Answer:

2( 25x² + 4y² )

Step-by-step explanation:

(5x + 2y )² + ( 5x -2y)² ​

Using the identity,

(a + b)² = a² + b² + 2ab       and,

(a - b)² = a² + b² - 2ab

We get,

[ (5x)² + (2y)² + 2 × 5x × 2y ] + [ (5x)² + (2y)² - 2 × 5x × 2y ]

25x² + 4y² + 20xy + 25x² + 4y² - 20xy

50x² + 8y²

2( 25x² + 4y² )