Respuesta :

JonHenderson55
Answer:  " 2x⁴ − 4x³ + 10x² − 16x + 8 " .
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Explanation:
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Given:
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Solve:  2(x−1)² (x² + 4) ;
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First, let us expand the following:
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 (x−1)² = (x−1)(x−1) = x² − 1x − 1x + 1 = x² − 2x + 1 .

Now, multiply that value by "2" ;

2(x² − 2x + 1) = 2x² − 4x + 2 ;

Now, multiply this value by "(x² + 4)" ;
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  (2x² − 4x + 2) (x² + 4) =

(2x² * x²)  +  (2x² * 4)  − (4x*x²) − (4x*4) + (2*x²) + (2*4) =

  2x⁴ + 8x² − 4x³ − 16x + 2x² + 8 ;

Now, combine the "like terms" :
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 + 8x²  +  2x²  =  10x² ;   and rewrite;  to get:
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  2x⁴ − 4x³ + 10x² − 16x + 8 .
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