Question

simplify : (x square +y square - z square) the whole square - (x square - square - z square) the whole square

Answer 1

$x ^{2} + y ^{2} + z^{2} = (x + y + z) ^{2} - 2xy - 2yz - 2zx \\ \\ (x + y + z)^{2} = x ^{2} + y ^{2} + z ^{2} + 2xy + 2yz + 2zx$

Answer 2

Answer:

After simplification we get 4x²y² - 4x²z²

Step-by-step explanation:

Given expression:

( x² + y² - z² )² - ( x² - y² - z² )²

We need to simplify the given expression.

Using identity,

a² - b² = ( a - b )( a + b )

we have

= ( x² + y² - z² - ( x² - y² - z² ) )( x² + y² - z² + x² - y² - z² )

= ( x² + y² - z² - x² + y² + z² )( x² + y² - z² + x² - y² - z² )

= ( 2y² )( 2x² - 2z² )

= 4x²y² - 4x²z²

Therefore, After simplification we get 4x²y² - 4x²z².