This specific step when factoring by grouping was a core memory of mine in high school math where I just memorized what to do and didn't understand what was happening. Here's how we can make sense of it. What did you memorize in math but didn't understand?

Hey Howie. This makes it make a lot more sense. Do u have a video explaining how to come up with the two middle terms? What I was taught was the diamond where the top is product of ax^2 times c and bottom is bx so the two middle terms multiply to top and add to bottom. Only way?

“Unlock the secrets of reality! Discover how mathematics reveals the hidden world of complete rational abstraction –Discover how Pythagoras’ 'Music of the Spheres' evolves into the current scientific theory known as String Theory.” (Book IV The Cosmic Symphony)

For whatever reason this made sense to me when it was explained; I might’ve had a good teacher tho

While I already did know the reason, due to it being a use of the distributive property (which I didn't consider that reason until after high school too), but the series of progressing apple examples is a brilliant way to teach this to students. Thanks for sharing.

I had a lot of trouble explaining factoring by grouping until someone told me to use the area model! 😀

Or you could say the share a factor of (x+4) so you factored it out. Just like the other terms shared “Apple”

I literally just showed this explainer to an Alg2 tutoring student, Thanks Howie!

Thank you for sharing my video, Karen!

Speaking of remembering an algorithm with no basis in understanding why... I learned this about 40 years ago...

Where's the explainer for why the 11x became 8x+3x? :>)

I really like this! 🥰