The correct answer is: [D]: " x² – 5x – 24 " .
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Step-by-step 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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