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

Toán Lớp 8: rút gọn các biểu thức sau a; (x-3y) (x-3y)+(x-3y)^2 b; (x+y)+(x-y)-4(x-y)(y+X) c; 2x-3y+3x-2y-2(3x-2y).(3y+3x)

Toán Lớp 8: rút gọn các biểu thức sau
a; (x-3y) (x-3y)+(x-3y)^2
b; (x+y)+(x-y)-4(x-y)(y+X)
c; 2x-3y+3x-2y-2(3x-2y).(3y+3x)

Comments ( 2 )

  1. a)
    (x-3y)(x-3y)+(x-3y)^2
    =(x-3y)^2+(x-3y)^2
    =2(x-3y)^2
    =2(x^2-6xy+9y^2)
    =2x^2-12xy+18y^2
    b)
    (x+y)+(x-y)-4(x-y)(x+y)
    =x+y+x-y-4(x^2-y^2)
    =2x-4x^2+4y^2
    c)
    2x-3y+3x-2y-2(3x-2y)(3y+3x)
    =5x-5y-2(9xy+9x^2-6y^2-6xy)
    =5x-5y-2(9x^2+3xy-6y^2)
    =5x-5y-18x^2-6xy+12y^2
     

  2. a)
    (x – 3y)(x – 3y) + (x – 3y)^2
    = (x – 3y)^2 + (x – 3y)^2
    = 2(x – 3y)^2
    = 2(x^2 – 6xy + 9y^2)
    = 2x^2 – 12xy + 18y^2
    b)
    (x + y) + (x – y) – 4(x – y)(y + x)
    = 2x – 4(x^2 – y^2)
    = 2x – 4x^2 + 4y^2
    c)
    2x – 3y + 3x – 2y – 2(3x – 2y)(3y + 3x)
    = 5x – 5y – 2 . 3x(3y + 3x) + 2 . 2y(3y + 3x)
    = 5x – 5y – 18xy – 18x^2 + 12y^2 + 12xy
    = 5x – 5y – 6xy – 18x^2 + 12y^2

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

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