Simplify (2z - 5y)$$^2$$​ + (5z + 2y)$$^2$$​ - 25z$$^2$$​.

Correct option is C

Given:

Simplify the expression:

​$$(2z - 5y)^2 + (5z + 2y)^2 - 25z^2$$​​

Formula Used:

​$$(a - b)^2 = a^2 - 2ab + b^2$$​

​$$(a + b)^2 = a^2 + 2ab + b^2$$​

Solution:

​$$=4z^2 - 20zy + 25y^2+25z^2 + 20zy + 4y^2-25z^2$$​​

​$$= (4z^2 + 25z^2 - 25z^2) + (-20zy + 20zy) + (25y^2 + 4y^2)$$​

​$$= 4z^2 + 29y^2$$​