If 4XZ + YW = 3 and XW + YZ = 6, what is the value of the expression (2X + Y)(2Z + W)? Options.
A) 9. B) 12. C) 15. D) 16 E) 18.
Expand this to get: (2X + Y)(2Z + W) = 4XZ + 2XW + 2YZ + YW   = 4 XZ + YW + 2XW + 2YZ [I rearranged the terms]   = 3 + 2XW + 2YZ [replaced 4XZ + YW with 3]   = 3 + 2(XW + YZ) factored out a 2   = 3 + 2(6)   = 3 + 12= 
<gadget id="calculator">3 + 12</gadget>
<output>15</output>
15   ANSWER:15.
<result>C</result>
If 4XZ + YW = 3 and XW + YZ = 6, what is the value of the expression (2X + Y)(2Z + W)?