Question

Give me the answer plz
$( {a}^2 + {b}^2)( {a}^2 + {b}^2) - ( {a}^2 - {b}^2)( {a}^2 - {b}^2){?} {?} {?} {?} {?} {?} {?} {?}$

Answer 1

Answer:

Given equation: ( a² + b² ) ( a² + b² ) - ( a² - b² ) ( a² - b² )

Simplification:

( a² + b² ) ( a² + b² ) can be written as ( a² + b² )².

Similarly,

( a² - b² ) ( a² - b² ) can be written as ( a² - b² )²

So now we get,

( a² + b² )² - ( a² - b² )²

This is of the form, a² - b² which can be written as ( a + b ) ( a - b ).

Here a = ( a² + b² ) and b = ( a² - b² ).

Substituting in the equation we get,

=> ( a² + b² + a² - b² ) ( a² + b² - ( a² - b² ) )

=> ( 2a² ) ( a² + b² - a² + b² )

=> ( 2a² ) ( 2b² )

=> 4a²b²

Hence 4a²b² is the required answer.