How is this deformation possible? | Mathematics | Page 1

bleak hazel Apr 11, 2025, 2:44 PM

#

What you see is a solution to an exercise to differentiate y = (x^2 - 1)^2 * (x+5)^3
I got the answer right, but I didn't simplify like in the picture. I find it quite weird how the + is disappearing, by moving 4x(x+5) on the other side. I tried AI to explain it to me, but I still don't get it. If somebody can it explain it in simpler terms, I would welcome it.

maiden pollenBOT Apr 11, 2025, 2:44 PM

#

burnt venture Apr 11, 2025, 3:01 PM

#

@bleak hazel it appears they factored by grouping here. Both terms contain (x+5)² and (x²-1) which is why they factored it out

bleak hazel Apr 11, 2025, 3:12 PM

#

@burnt venture Now I see it, thanks. Btw, how can I close this as "solved" ?

burnt venture Apr 11, 2025, 3:12 PM

#

.solved

#

Like that

bleak hazel Apr 11, 2025, 3:31 PM

#

.solved

maiden pollenBOT Apr 11, 2025, 3:31 PM

#

Solved

Post marked as solved by @bleak hazel.

Use .unsolved if this was a mistake.

#How is this deformation possible?