Question

(x+2y)² - 4(2x-y)²
answer?​

Answer 1

Answer:

Step-by-step explanation:

Given that,

( x + 2y )² - 4 ( 2x - y )²

= x² + (2y )² + 2 (x ) ( 2y ) - 4 [ ( 2x )² + ( y² ) - 2 ( 2x ) (y ) ]

= x² + 4y² + 4xy - 4 [ 4x ² + y² - 4xy ]

= x² + 4y² + 4xy - 16x² - 4y² + 16xy ( ∵ - × + = - ; - × - = + )

= ( x² - 16x² ) + ( 4y² - 4y² ) + ( 4xy + 16xy ) (∵ like terms )

= - 15x² + 0 + 20xy

= - 15x² + 20xy is the answer.