Simplify (2x − 5y)² + (5x + 2y)² + (2x + 5y)(2x − 5y).

Correct option is D

Given: ​

(2x − 5y)²+ (5x + 2y)²+ (2x + 5y)(2x − 5y) 

Formula Used: ​

​$$(a +b)^2 = a^2 +b^2+2ab \\ \ \\ (a-b)^2 = a^2 +b^2-2ab \\ \ \\ a^2 -b^2 = (a+b)(a-b)$$ 

Solution: ​

(2x − 5y)²+ (5x + 2y)²+ (2x + 5y)(2x − 5y) 

= 4x² + 25y² − 10xy + 25x² + 4y² + 10xy + 4x² - 25y² 

=  33x² + 4y² 

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