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

Toán Lớp 8: phân tích các đa thức sau thành nhân tử a, ( x-5 )^2 – 2y( x-5 )^2 b, ( x+1 )( y-2 ) – ( 2-y )^2 c, y ( x-y )^3 + x( y-x )^3 d, x( x-y

Toán Lớp 8: phân tích các đa thức sau thành nhân tử
a, ( x-5 )^2 – 2y( x-5 )^2
b, ( x+1 )( y-2 ) – ( 2-y )^2
c, y ( x-y )^3 + x( y-x )^3
d, x( x-y ) – 3x +3y
e, 4( 2-x ) + xy – 2y
f, 3a^2x – 3a^2y + abx – aby
g, x^2y – xy^2 – 3x + 3y
h, 2ax^3 + 6ax^2 + 6ax + 18a
i, ( 2x-6 )( 4x^2+1) – (2x – 6)(4x + 1) – (2x – 6)

Comments ( 2 )

  1. Giải đáp+Lời giải và giải thích chi tiết:
    a) (x-5)^2-2y(x-5)^2
    =(x-5)^2 .(1-2y)
    b) (x+1)(y-2)-(2-y)^2
    =(-x-1)(2-y)-(2-y)^2
    =(2-y)(-x-1-2+y)
    =(2-y)(y-x-3)
    c) y(x-y)^3+x(y-x)^3
    =y(x-y)^3-x(x-y)^3
    =(y-x)(x-y)^3
    d) x(x-y)-3x+3y
    =x(x-y)-3(x-y)
    =(x-3)(x-y)
    e) 4(2-x)+xy-2y
    =4(2-x)-(2y-xy)
    =4(2-x)-y(2-x)
    =(4-y)(2-x)
    f) 3a^2x-3a^2y+abx-aby
    =3a^2(x-y)+ab(x-y)
    =(3a^2+ab)(x-y)
    =a(3a+b)(x-y)
    g) x^2y-xy^2-3x+3y
    =xy(x-y)-3(x-y)
    =(xy-3)(x-y)
    h) 2ax^2+6ax^2+6ax+18a
    =2a(x^2+3x^2+3x+9)
    =2a[x^2(x+3)+3(x+3)]
    =2a(x^3+3)(x+3)
    i) ( 2x-6)(4x^2+1)-(2x-6)(4x+1)-(2x-6)
    =(2x-6)(4x^2+1-4x-1-1)
    =2(x-3)(4x^2-4x-1)

  2. a) ( x – 5 )² – 2y( x – 5 )²
    = ( x – 5 )²( 1 – 2y) 
    d) x( x-y ) – 3x +3y
    = x( x – y)  – 3( x – y)
    = ( x – y)(x – 3) 
    e) 4( 2-x ) + xy – 2y
    = 4( 2 – x ) + y( x – 2)
    = ( 2 – x)( 4 + y) 
    f) 3a²x – 3a²y + abx – aby
    = 3a²( x – y) + ab( x – y) 
    (x – y)( 3a² + ab)
    g) x²y – xy² – 3x + 3y
    = x( xy – 3) – y( xy + 3)
    = ( x²y² – 9)( x – y)

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

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