Löse Gleichungen Mathe KLasse8 Binomische Formeln

Question

(p+8)²=(p-8)²

(4p+1)²-16p²=(p-2)²-p²

Answer 1

(p+8)²=(p-8)²

^{p^2 +16 p +64= p^2 -16p +64}

16 p =-16p  |+16p

32 p=0 |:32

p=0

Answer 2

(p+8)²=(p-8)²

p² + 16p + 64  = p² - 16p + 64 



p² + 16p  = p² - 16p 


      16p  = - 16p


          32 p = 0 

              p = 0

(4p+1)²-16p²=(p-2)²-p²   

16p²   + 8p  +   1   -16p²   =   p² -4p  +  4   -     p²    

          8p  +   1    =   -4p  +  4  

                 12p  =  3  

                    p = 1/4