Find the product of (2x + 5y) 2.

4x2 + 20xy + 25y2

4x2 - 20xy + 25y2

4x2 - 25y2

4x2 + 25y2

4x2 + 20xy + 25y2

correct answer is option A

Step-by-step explanation:

given,

(2 x + 5 y) ² ... (1)

using identity of

(a + b) ² = a² + b² + 2 a b

using identity in equation (1)

(2 x + 5 y) ² = (2 x) ² + (5 y) ² + 2 * (2 x) * (5 y)

(2 x + 5 y) ² = 4 x² + 25 y² + 20 x y

hence on solving the equation by using identity we get

(2 x + 5 y) ² = 4 x² + 25 y² + 20 x y

so, the correct answer is option A