what is the simplified form of ( a^2- b^2) ( a^2- b^2)
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Step-by-step explanation:
1st step, Distribute:
=(a2)(a2)+(a2)(b2)+(−b2)(a2)+(−b2)(b2)+−a4+2a2b2+−b4
=a4+a2b2+−a2b2+−b4+−a4+2a2b2+−b4
2nd step, Combine Like Terms:
=a4+a2b2+−a2b2+−b4+−a4+2a2b2+−b4
=(a4+−a4)+(a2b2+−a2b2+2a2b2)+(−b4+−b4)
=2a2b2−2b4 Answer
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