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

Toán Lớp 8: -36a^2+x^2+4y^2-4xy 10ax-5ay+2ax-y 2a^2b(x+y)-4ab^2(-x-y)

Toán Lớp 8: -36a^2+x^2+4y^2-4xy
10ax-5ay+2ax-y
2a^2b(x+y)-4ab^2(-x-y)

Comments ( 2 )

  1. $-36a^2+x^2+4y^2-4xy$
    $= -36a^2+(x^2+4y^2-4xy)$
    $= -36a^2+(x^2-4xy+4y^2)$
    $= -36a^2+(x-2y)^2$
    $= (x-2y)^2-36a^2$
    $= (x-2y-36a)(x-2y+36a)$
    $\\$
    $10ax-5ay+2ax-y$
    $= (10ax+2ax)-5ay-y$
    $= 12ax-5ay-y$
    $= 12ax-y(5a+1)$
    $\\$
    $2a^2b(x+y)-4ab^2(-x-y)$
    $= 2a^2b(x+y)-4ab^2[-(x+y)]$
    $= 2a^2b(x+y)+4ab^2(x+y)$
    $= (x+y)(2a^2b+4ab^2)$
    $= (x+y)2ab(a+2b)$
    $= 2ab(x+y)(a+2b)$

  2. 1) -36a^2+x^2+4y^2-4xy
    =(x^2-4xy+4y^2)-36a^2
    =(x-2y)^2-(6a)^2
    =(x-2y+6a)(x-2y-6a)
    Vậy: -36a^2+x^2+4y^2-4xy
    =(x-2y+6a)(x-2y-6a)
    $\\$
    2) 10ax-5ay+2ax-y
    =(10ax+2ax)-5ay-y
    =12ax-y(5a+1)
    $\\$
    3) 2a^2 b(x+y)-4ab^2 (-x-y)
    =a. 2ab(x+y)+2b. 2ab(x+y)
    =2ab(x+y)(a+2b)
    Vậy 2a^2 b(x+y)-4ab^2 (-x-y)
    =2ab(x+y)(a+2b)
    _______
    Câu 2 đề thế này sẽ hợp lý hơn:
    \qquad 10ax-5ay+2ax-ay
    =(10ax+2ax)-(5ay+ay)
    =12ax-6ay
    =6a(2x-y)

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