Question

Expand using suitable identities
(x + 2y + 5z)²​

Answer 1

Answer:

x² + 4y² + 25z² + 4xy + 20yz + 10xz

Step-by-step explanation:

Substituting x = a, 2y = 3b and 5z = c, we get

(x + 2y + 5z)²

= (a + b + c)²

= a² + b² + c² + 2ab + 2bc + 2ac

= (x)² + (2y)² + (5z)² + 2 . x . 2y + 2 . 2y . 5z + 2 . x . 5z

= x² + 4y² + 25z² + 4xy + 20yz + 10xz