Answer:
Monique made an error when writing the factored expression.
Correct factored 
expression=4x(1+4y)
Step-by-step explanation:
factoring the expression 4 x + 16 x y. 
Factors of 4x: 1, 2, 4, x 
Factors of 16xy: 1, 2, 4, 8, 16, x, y 
GCF: 4x 
Factored expression: 4 x (0 + 4 y) 
Monique made an error when writing the factored expression.
The correct factored expression should be:
4x+16xy
=4x(1+4y)
Contrary to 4x(0+4y)
Correct factored 
expression=4x(1+4y)