27.2k views
5 votes
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

User Helifreak
by
5.2k points

1 Answer

5 votes
The correct answer is: [D]: " 4xy + 16x − 4y² − 16y " .
_____________________________________________________
Step-by-step 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 " .
_________________________________________________________
User Inger
by
4.7k points