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Mathematics

Evaluate:

(a + b) (a - b) (a2 + b2)

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Answer

(a + b) (a - b) (a2 + b2)

Using the formula

[∵ (x + y)(x - y) = x2 - y2]

= (a2 - b2) (a2 + b2)

= a4 - b4

Hence, (a + b) (a - b) (a2 + b2) = a4 - b4

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