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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 6: ko tính tổng,hãy giải thích: 3^3+3^4+3^5+3^6 chia hết cho 4 5^5+5^6+5^7+5^8 chia hết cho 6

Toán Lớp 6: ko tính tổng,hãy giải thích:
3^3+3^4+3^5+3^6 chia hết cho 4
5^5+5^6+5^7+5^8 chia hết cho 6

Comments ( 2 )

  1. 3^3 + 3^4+3^5+3^6

    = (3^3 + 3^4) + (3^5+3^6)

    = 3^3 .( 1+3) + 3^5 . ( 1+3)

    =  3^3 . 4 + 3^5 .4

    = 4 . (3^3 + 3^5)

    => 3^3 + 3^4+3^5+3^6 $\vdots$ hết cho 4

    5^5 + 5^6 +5^7+5^8

    = (5^5 + 5^6) + (5^7+5^8)

    = 5^5 .( 1+5) + 5^7 . ( 1+5)

    =  5^5 . 6 + 5^7 . 6

    = 6 . (5^5 + 5^7)

    =>5^5 + 5^6 +5^7+5^8 $\vdots$ hết cho 6

  2. Giải đáp:

    3^3+3^4+3^5+3^6

    =(3^3+3^4)+(3^5+3^6) 

    =3^3(1+3)+3^5(1+3) 

    =(3^3+3^5)(1+3) 

    =(3^3+3^5).4

    Mà 4 $\vdots$ 4

    ⇒3^3+3^4+3^5+3^6 $\vdots$ 4

    5^5+5^6+5^7+5^8

    =(5^5+5^6)+(5^7+5^8)

    =5^5(1+5)+5^7(1+5)

    =(5^5+5^7)(1+5)

    =(5^5+5^7).6

    Mà 6 $\vdots$ 6

    ⇒5^5+5^6+5^7+5^8 $\vdots$ 6

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222-9+11+12:2*14+14 = ? ( )

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