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Simplify (a+b) ^3 + (a-b) ^3 + 6a (a^2-b^2)

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  1. 9 June, 16:52
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    8a^3.

    Step-by-step explanation:

    (a+b) ^3=a^3+b^3+3a^2b+3ab^2

    (a-b) ^3=a^3-b^3-3a^2b+3ab^2

    (a+b) ^3 + (a-b) ^3=2a^3+6ab^2

    According to the question

    (a+b) ^3 + (a-b) ^3+6a (a^2-b^2)

    Put in the value

    =2a^3+6ab^2 + 6a^3-6ab^2

    =8a^3
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