Tuesday, July 26, 2016

algebra precalculus - Why does k2+4k+4 become (k+2)2?



I'm studying maths after a lot of years without having a look at it.



Currently I'm doing proof by induction, I have a doubt when doing an exercise.



If you have a look at this video at minute 5:15 , [k2+4k+4] becomes (k+2)2 and I don't understand why.




Is there any rule or theorem that explains this?


Answer



depending on the area of rectangle



enter image description here



k2+2k+2k+4=(k+2)(k+2)


(k2+4k+4)=(k+2)2


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