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2 tháng 12 2016

Gọi ƯCLN(a x b; a2+b2) là d

=> a x b chia hết cho d => a2+2a x b+b2 chia hết cho d

a2+b2 chia hết cho d

=> a x b chia hết cho d => a hoặc b chia hết cho d

Kết hợp (a;b)=1

=> d=1

=> ƯCLN(a x b; a2+b2) = 1

k cho mình nha!

2 tháng 12 2016

ƯCLN(ab, a2 + b2) = 1

31 tháng 1 2022

UKM

^6^7g^7*(KHV C GTGFCCGttedx

8 tháng 12 2015

a) goi hai so la a ; b va a >b

vi UCLN(a,b)=18=>a=18k            ;       b=18q       (trong do UCLN (k,q)=1 va k>q)

=>a+b=162

18k+18q =162

18(k+q)=162

k+q=9

ta co bang sau   

 

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vay ...........

   
    
    

 

29 tháng 10 2016

21453 

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Ta có:

ƯCLN(a,b) = 56

Suy ra : a chia hết cho 56

     và    b chia hết cho 56

Ta có:a là số bị chia,56 là số chia,thương là m khác 0

         b là số bị chia,56 là số chia,thương là n khác 0

Mà a + b = 224

Hay 56m + 56n = 224

      56 x (m+ n ) = 224

              m + n = 224 : 56

             m + n = 4 

+trường hợp 1          

m = 1;n = 3

khi đó : a = 56 x m = 56 x 1 = 56            (thõa mãn)

            b = 56 x n = 56 x 3 = 168

+trường hợp 2:

m = 2;n=2

khi đó : a = 56 x m = 56 x 2 = 112            (không thõa mãn)

            b = 56 x n = 56 x 2 = 112

+trường hợp 3

khi đó: a = 56 x m = 56 x 3 = 168          (thõa mãn)

          b = 56 x n = 56 x 1 = 56 

bài b cậu tự làm nha