Question

What is the completely factored form of t^4 − 16

Answer 1

Since both terms are perfect squares, factor using the difference of squares formula, a^ 2  −  b ^2  =  ( a  +  b)  ( a − b )  where  a  =  t ^2 and  b  =  4 .

Answer: ( t^ 2  +  4 )  (  t  +  2 )  (  t  −  2 )  

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