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Step-by-step explanation:
Given :-
a⁴ - b⁴
Solution :-
\implies \: (a {}^{2} ) {}^{2} \: - \: (b {}^{2} ) {}^{2}⟹(a
2
)
2
−(b
2
)
2
\implies \: (a {}^{2} \: + \: b {}^{2}) \: (a {}^{2} \: - \: b {}^{2} )⟹(a
2
+b
2
)(a
2
−b
2
)
\implies \: (a {}^{2} \: + \: b {}^{2}) \: [(a) {}^{2} \: - \: (b) {}^{2} ]⟹(a
2
+b
2
)[(a)
2
−(b)
2
]
\implies(a {}^{2} \: + \: b {}^{2} ) \: [(a \: + \: b) \: ( a \: + \: b)(a \: - b)]⟹(a
2
+b
2
)[(a+b)(a+b)(a−b)]
\implies \: (a {}^{2} + b {}^{2} )(a \: + \: b) \: (a \: - \: b)⟹(a
2
+b
2
)(a+b)(a−b)
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