Phase cancellation and power mismatch.
I used a 4x10 & 1x15 rig at the request of a band leader on a tour.
He was always bitching that my tone didn't have enough bass so he wanted me to crank it, while the soundguy agreed with me that my bass was absolutely slamming.
Turns out the BL was sitting in a bassless pocket due to phase cancellation.
BL was a lot happier when I unplugged the 1x15 and just used the 4x10.
Saw a friend's band play a small venue with PA for vocals only.
He ran a 4x10 & 1x15. Matched brands and lines, supposed to play well together.
Standing directly in front of him for the length of the venue, he sounded massive.
Move 5 feet to the right or left, his low end disappeared.
Matched cabs (2 4x10's, 2 1x15's, etc.) don't have those problems.
And power mismatch.
As someone else pointed out, a 4x10 can handle a lot more power than a 1x15 because it divides the signal equally amongst 4 drivers instead of just the 1.
800 watt amp sends 400 watts to each box.
Each 10" gets just 100 watts, which they can handle, no sweat.
The 1x15 gets all 400 watts, which exceeds its power handling.
It's gonna blow.
When it blows, it changes the impedance that your amp sees, which may drop the speaker load impedance below what the amp can handle, threatening to fry your amp.
Matched cabs handle the same power load, so either they all blow, or none of them do.
If you want a big powerful stack with almost zero phase issues and guaranteed not to blow, vertically stack 2 2x10's.
It's the same height as an 8x10, weighs less than an 8x10 or 2 4x10's or a 4x10 & 1x15. The vertical array minimizes phase cancellation and it's more than powerful enough to do just about anything you need it to do.