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

Toán Lớp 8: 1)14x^2-21xy^2+28x^2y^2 2)x^2+4x-y^2+4 3)x^2+5x-6 4)a^4+16 5)x^2-y^2-2x+2y 6)2x+2y-x^2-xy 7)3a^2-6ab+3b^2-12c^2 8)x^2-25+y^2+2xy 9)a^2+

Toán Lớp 8: 1)14x^2-21xy^2+28x^2y^2
2)x^2+4x-y^2+4
3)x^2+5x-6
4)a^4+16
5)x^2-y^2-2x+2y
6)2x+2y-x^2-xy
7)3a^2-6ab+3b^2-12c^2
8)x^2-25+y^2+2xy
9)a^2+2ab+b^2-ac-bc
10)x^2-2x-4y^2-4y

Comments ( 2 )

  1. Giải đáp:
    1)7x(2x-3y²+4xy²)
    2)(x+2+y)(x+2-y)
    3)(x+6)(x-1)
    4)(a^2+4+2$\sqrt[]{2}$ a)(a^2+4-2$\sqrt[]{2}$a)
    5)(x-y)(x+y-2)
    6)(x+y)(2-x)
    7)3(a-b+2c)(a-b-2c)
    8)(x+y+5)(x+y-5)
    9)(a+b)(a+b-c)
    10)(x+2y)(x-2y-2)
    Lời giải và giải thích chi tiết:
    1)14x²-21xy²+28x²y²
    =7x(2x-3y²+4xy²)
    2)x²+4x-y²+4
    =(x²+4x+4)-y²
    =(x²+2.x.2+2²)-y²
    =(x+2)²-y²
    =(x+2+y)(x+2-y)
    3)x²+5x-6
    =x²+6x-x-6
    =(x²+6x)-(x+6)
    =x(x+6)-(x+6)
    =(x+6)(x-1)
    4)a^4+16
    =a^4+8a²-8a²+16
    =(a^4+8a²+16)-8a²
    =[(a^2)^2+2.a².4+4²]-($\sqrt[]{8}$ a)^2
    =(a^2+4)^2-(2$\sqrt[]{2}$ a)^2
    =(a^2+4+2$\sqrt[]{2}$ a)(a^2+4-2$\sqrt[]{2}$a)
    5)x²-y²-2x+2y
    =(x²-y²)-(2x-2y)
    =(x+y)(x-y)-2(x-y)
    =(x-y)(x+y-2)
    6)2x+2y-x²-xy
    =(2x+2y)-(x²+xy)
    =2(x+y)-x(x+y)
    =(x+y)(2-x)
    7)3a²-6ab+3b²-12c²
    =3(a²-2ab+b²-4c²)
    =3[(a²-2ab+b²)-4c²]
    =3[(a-b)²-(2c)²]
    =3(a-b+2c)(a-b-2c)
    8)x²-25+y²+2xy
    =(x²+2xy+y²)-25
    =(x+y)²-5²
    =(x+y+5)(x+y-5)
    9)a²+2ab+b²-ac-bc
    =(a²+2ab+b²)-(ac+bc)
    =(a+b)²-c(a+b)
    =(a+b)(a+b-c)
    10)x²-2x-4y²-4y
    =(x²-4y²)-(2x+4y)
    =[x²-(2y)²]-2(x+2y)
    =(x+2y)(x-2y)-2(x+2y)
    =(x+2y)(x-2y-2)

  2. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    14x^2y – 21xy^2 + 28x^2y^2
    =7xy(2x-3y+4xy)
    2)x^2+4x-y^2+4
    = x^2 + 4x + 4- y^2
    = (x+2)^2 — y^2
    = (x+2-y)(x+2+y)
    3)x^2+5x-6
    = x^2 – x + 6x – 6
    = x(x-1) + 6(x-1)
    = (x-1)(x+6)
    2x+2y-x^2-xy
    = 2 (   x + y) – x ( x + y)
    = ( 2 – x ) ( x + y)
    x^2-2x-4y^2-4y
    = x^2 – 4y^2 – 2x – 4y
    = x- 2y) ( x + 2y) – 2( x – 2y)
    = ( x – 2y) ( x + 2y  – 2)
    5)x^2-y^2-2x+2y
    = (x-y)(X+y) – 2(x-y)
    = (x-y)(x+y-2
    x^4 + 16
    = x^4 + 2^4 
    = x^4 + 4x^2 + 16 -4x^2 ( cộng và trừ thêm 4x^2 )
    = (x^2 + 2).(x^2 + 2) – (2x)^2
    = (x^2 + 2)^2 -(2x)^2
    = (x^2 +2 -2x).(x^2 +2 +2x)
    cho hay nhất nhé

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