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

Toán Lớp 8: x^3 – 4x^2 + 4x x^2 – 2xy – 1+ y^2 3x^2 – 5x + 2 x^2 – 8x + 15 4x^4 + 1 giúp e vs ạ nhanh nhất có thể ạ

Toán Lớp 8: x^3 – 4x^2 + 4x
x^2 – 2xy – 1+ y^2
3x^2 – 5x + 2
x^2 – 8x + 15
4x^4 + 1
giúp e vs ạ nhanh nhất có thể ạ

Comments ( 2 )

  1. \qquad x^3-4x^2+4x
    =x(x^2-4x+4)
    =x(x-2)^2
    —————————
    \qquad x^2-2xy-1+y^2
    =(x^2-2xy+y^2)-1
    =(x-y)^2-1
    =(x-y-1)(x-y+1)
    ————————–
    \qquad 3x^2-5x+2
    =3x^2-3x-2x+2
    =3x(x-1)-2(x-1)
    =(x-1)(3x-2)
    ————————–
    \qquad x^2-8x+15
    =x^2-3x-5x+15
    =x(x-3)-5(x-3)
    =(x-3)(x-5)
    ————————–
    \qquad 4x^4+1
    =4x^4+4x^2+1-4x^2
    =(2x^2+1)^2-(2x)^2
    =(2x^2-2x+1)(2x^2+2x+1)
     

  2. Giải đáp:
     a, x(x – 2)²                b, (x – y – 1)(x – y + 1)                  c, (x-1)(3x -2)                    d, (x-3)(x-5)
    e, (2x² – 2x +1)(2x² + 2x +1)
    Lời giải và giải thích chi tiết:
    a, x³ – 4x² + 4x = x(x² – 4x + 4) = x (x – 2)²
    b, x² – 2xy – 1 + y² = x² – 2xy + y² – 1 = (x-y)² – 1 = (x – y – 1)(x – y + 1)
    c, 3x² – 5x + 2 = 3x² – 3x – 2x + 2 = 3x (x – 1) – 2(x – 1) = (x-1)(3x – 2)
    d, x² – 8x + 15 = x² – 3x – 5x + 15 = x(x-3) – 5(x – 3) = (x-3)(x-5)
    e, 4x^4 + 1 = (2x²)² + 4x² + 1 – 4x² = (2x² + 1)² – (2x)² = (2x² – 2x + 1)(2x² + 2x + 1)
    ỦNG HỘ MIK NHA!!!!!!!!!!!!!!!!!!!!! CHÚC BN HỌC TỐT:)))))))))))))))))))))))))

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