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

Toán Lớp 8: Phân tích thành nhân tử 1. 9x ² – 25y ²= 2. x ³ – 8= 3. 27x ³ + 1= 4. 5x ² – 10xy + 5y ²= 5. xy ³ – x ²y= 6. 9x ² – 1= 7. 4x ² + 9y ² +

Toán Lớp 8: Phân tích thành nhân tử
1. 9x ² – 25y ²=
2. x ³ – 8=
3. 27x ³ + 1=
4. 5x ² – 10xy + 5y ²=
5. xy ³ – x ²y=
6. 9x ² – 1=
7. 4x ² + 9y ² + 12xy=
8. 25x ² – 10x + 1=
9. 5x ² – 20=
10. 1+8x=
11. 125x ³ – 8=
12. x^4 – 1=
13. (x-5) ² – 4y ²=
14. x ³y – 64y=

Comments ( 2 )

  1. 1. 9x ² – 25y ²=(3x-5y)(3x+5y)
    2. x ³ – 8=(x-2)(x²+2x+4)
    3. 27x ³ + 1=(3x+1)(9x²-3x+1)
    4. 5x ² – 10xy + 5y ²=5(x²-2xy+y²)=5(x+y)²
    5. xy ³ – x ³y=xy(y²-x²)=xy(x-y)(x+y)
    6. 9x ² – 1=(3x-1)(3x+1)
    7. 4x ² + 9y ² + 12xy=(2x+3y)²
    8. 25x ² – 10x + 1=(5x-1)²
    9. 5x ² – 20=5(x²-4)=5(x-2)(x+2)
    10. 1+8x³=(1+2x)(1-2x+4x)
    11. 125x ³ – 8=(5x-2)(25x+10x+4)
    12. $x^{4}$   – 1=(x²)²-1=(x²-1)(x²+1)=(x-1)(x+1)(x²+1)
    13. (x-5) ² – 4y ²=(x-5-2y)(x-5+2y)
    14. x ³y – 64y=y(x³-64)=y(x-4)(x²+4x+16)
    CHÚC BẠN HỌC TỐT!

  2. ~ gửi bạn ~
    Giải đáp:
    … 
    Lời giải và giải thích chi tiết:
    1) 9x^2 – 25y^2 = (3x)^2 – (5y)^2 = (3x – 5y).(3x + 5y)
    2) x^3 – 8 = x^3 – 2^3 =  (x – 2).(x^2 + 2x + 4)
    3) 27x^3 + 1 = (3x)^3 + 1 = (3x + 1).(9x^2 – 3x + 1)
    4) 5x^2 – 10xy + 5y^2 = 5.(x^2 – 2xy + y^2) = 5.(x – y)^2
    5) xy^3 – x^2y = xy.(y^2 – x)
    6) 9x^2 – 1 = (3x)^2 – 1 = (3x – 1).(3x + 1)
    7) 4x^2 + 9y^2 + 12xy = (2x)^2 + 2.2x.3y + (3y)^2 = (2x + 3y)^2
    8) 25x^2 – 10x + 1 = (5x)^2 – 2.5x. 1 + 1^2 = (5x – 1)^2
    9) 5x^2 – 20 = 5.(x^2 – 4) = 5.(x^2 – 2^2) = 5.(x – 2).(x + 2)
    10) 1 + 8x^3 = 1 + (2x)^3 = (1 + 2x).(1 – 2x + 4x^²)
    11) 125x^3 – 8 = (5x)^3 – 2^3 = (5x−2).(25x^2+10x+4)
    12) x^4 – 1 = (x^2)^2 – 1 = (x^2 – 1).(x^2 + 1) = (x – 1).(x + 1).(x^2 + 1)
    13) (x – 5)^2 – 4y^2 = (x – 5)^2 – (2y)^2 = (x – 5 – 2y).(x – 5 + 2y)
    14) x^3y – 64y = y.(x^3 – 64) = y.(x^3 – 4^3) = y.(x – 4).(x^2 + 4x + 16)

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