Respuesta :

JonHenderson55
The correct answer is:  [D]:  "  x² – 5x – 24 " .
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Explanation:
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Given:  " (x + 3)(x – 8) " ; expand :
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Note:  (a + b) (c + d) = ac + ad + bc + bd .
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a = x ; 

b = 3 ; 

c = x  

d = 8
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   " (x + 3)(x – 8) " ; 

        =  (x * x)  + ( -8 * x)  + ( 3 * x ) + (3 * -8) ; 

        =  x² + (-8x) + 3x + (-24) ;

         = x² – 8x + 3x – 24 ;

→ Combine the "like terms" :

          – 8x  +  3x  =  – 5x ;

And simplify the expression; 

to get: 

→  " x² – 5x – 24 " ; which is:  Answer choice:  [D]:  " x² – 5x – 24 " .
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