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shraddha19200423:
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★Heya★
( x² + y² - z² )² - ( x² - y² + z² )² =
x⁴ + y⁴ + z⁴ + 2x² y² - 2y²z² - 2x² z² - { x⁴ + y⁴ + z⁴ - 2x²y² - 2y²z² + 2x²z² }
=>
x⁴ + y⁴ + z⁴ + 2x²y² - 2y²z² - 2x²z² - x⁴ - y⁴ - z⁴ + 2x²y² + 2y²z² - 2x²z²
=>
4x²y² - 4x²z²
=>
4x² ( y² - z² )
_______________________________
( a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ac
( x² + y² - z² )² - ( x² - y² + z² )² =
x⁴ + y⁴ + z⁴ + 2x² y² - 2y²z² - 2x² z² - { x⁴ + y⁴ + z⁴ - 2x²y² - 2y²z² + 2x²z² }
=>
x⁴ + y⁴ + z⁴ + 2x²y² - 2y²z² - 2x²z² - x⁴ - y⁴ - z⁴ + 2x²y² + 2y²z² - 2x²z²
=>
4x²y² - 4x²z²
=>
4x² ( y² - z² )
_______________________________
( a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ac
thanku
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