Question

Simplify (2x-2y)(2y+8)=? A.4xy-4y(2) B.4xy-16x-4y(2)-16y C.4xy+16x+4y(2)+16y D.4xy+16x-4y(2)-16y

Answer 1

The correct answer is:   [D]:  " 4xy + 16x − 4y² − 16y " .
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Explanation:
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Given:   
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     "  (2x − 2y) (2y + 8) " ;  Simplify . 
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We starting by "expanding" the expression.
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Note:  " (a + b)(c + d)  =  ac +  ad + bc + bd " ;
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     →  (2x * 2y) + (2x * 8) + (-2y * 2y) + (-2y * 8) ; 

=   4xy + 16x + (- 4y² ) + (-16y) ;

=   4xy + 16x − 4y² − 16y ; 

→  which is:  "Answer choice:  [D]:  " 4xy + 16x − 4y² − 16y " .
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