Factorise using identity
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Step-by-step explanation:
x² - y² = ( x - y ) ( x + y )
x⁴ - y⁴ = (x²)² - (y²)² = ( x² - y² ) ( x² + y² ) = ( x - y ) ( x + y ) ( x² + y² )
x⁸ - y⁸ = (x⁴)² - (y⁴)² = ( x⁴ - y⁴ ) ( x⁴ + y⁴ ) = ( x - y ) ( x + y ) ( x² + y² ) ( x⁴ + y⁴ )
p⁴q¹² - p¹²q⁴
= p⁴q⁴ ( q⁸ - p⁸ )
= p⁴q⁴ ( q - p ) ( q + p ) ( q² + p² ) ( q⁴ + p⁴ )
sanuvengattu:
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