Why is lxyl equal lxl times lyl?

Answer 1

I suggest you try to "visualize" that, by substituting some positive and negative numbers, as well as zero. Here are some examples (check whether each one is correct):

|5| x |4| =? |5 x 4|

|0| x |10| =? |0 x 10|

|-3| x |5| =? |-3 x 5|

|-2| x |-2| =? |(-2) x (-2)|