(a+b)/\2+(a-b)/\2 = ----------------------------
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=> we know the formula of (a+b)² = a²+2ab ± b²
nd we know the formula of (a-b)² = a² -2ab + b²
here,
(a+b)² + (a-b)²
=> (a²+2ab ± b²) + (a² -2ab + b² )
=> a² + 2ab + b² + a² - 2ab + b²
=> a⁴ + b⁴
=> a⁴ + b⁴
hence ,
(a+b)² + (a-b)² ====> a⁴+ b⁴
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