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

The correct answer is:   [D]:  " 4xy + 16x − 4y² − 16y " .

Explanation:

Given:   

     "  (2x − 2y) (2y + 8) " ;  Simplify . 

We starting by "expanding" the expression.

Note:  " (a + b)(c + d)  =  ac +  ad + bc + bd " ;

     →  (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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