因式分解2x²+4x+2求解
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因式分解2x²+4x+2求解
x²-4-12
y²-12y-28
x²-3xy+2y²
x²-4-12
y²-12y-28
x²-3xy+2y²
2x²+4x+2=2(x+1)^2
x²-4x-12=(x-6)(x+2)
y²-12y-28=(y-14)(y+2)
x²-3xy+2y²=(x-y)(x-2y)
再问: 过程=_=
再答: 2x^2+4x+2
=2(x^2+2x+1)
=2(x+1)^2
x^2-4x-12
=(x^2-4x+4)-16
=(x-2)^2-16
=(x-2-4)(x-2+4)
=(x-6)(x+2)
y^2-12y-28
=(y^2-12y+36)-64
=(y-6)^2-64
=(y-6-8)(y-6+8)
=(y-14)(y+2)
x^2-3xy+2y^2
=(x^2-2xy+y^2)-xy+y^2
=(x-y)^2+y(x-y)
=(x-y)(x-2y)
x²-4x-12=(x-6)(x+2)
y²-12y-28=(y-14)(y+2)
x²-3xy+2y²=(x-y)(x-2y)
再问: 过程=_=
再答: 2x^2+4x+2
=2(x^2+2x+1)
=2(x+1)^2
x^2-4x-12
=(x^2-4x+4)-16
=(x-2)^2-16
=(x-2-4)(x-2+4)
=(x-6)(x+2)
y^2-12y-28
=(y^2-12y+36)-64
=(y-6)^2-64
=(y-6-8)(y-6+8)
=(y-14)(y+2)
x^2-3xy+2y^2
=(x^2-2xy+y^2)-xy+y^2
=(x-y)^2+y(x-y)
=(x-y)(x-2y)