因式分解:4/9x^2-2x+9/4
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因式分解:4/9x^2-2x+9/4
(3m+n)(2m-n)-(m+3n)(n-2m)
5(x-y)^2+7(x-y)-6
(3m+n)(2m-n)-(m+3n)(n-2m)
5(x-y)^2+7(x-y)-6
![因式分解:4/9x^2-2x+9/4](/uploads/image/z/18546590-38-0.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A4%2F9x%5E2-2x%2B9%2F4)
4/9x^2-2x+9/4
=(2/3x)²-2×2/3×3/2x+(3/2)²
=(2/3x-3/2)²
=[1/6(4x-9)]²
=1/36(4x-9)²
(3m+n)(2m-n)-(m+3n)(n-2m)
=(3m+n)(2m-n)+(m+3n)(2m-n)
=(2m-n)(3m+n+m+3n)
=(2m-n)(4m+4n)
=4(2m-n)(m+n)
5(x-y)^2+7(x-y)-6
=[5(x-y)-3](x-y+2)
=(5x-5y-3)(x-y+2)
十字相乘
5(x-y) ﹣3
x-y 2
=(2/3x)²-2×2/3×3/2x+(3/2)²
=(2/3x-3/2)²
=[1/6(4x-9)]²
=1/36(4x-9)²
(3m+n)(2m-n)-(m+3n)(n-2m)
=(3m+n)(2m-n)+(m+3n)(2m-n)
=(2m-n)(3m+n+m+3n)
=(2m-n)(4m+4n)
=4(2m-n)(m+n)
5(x-y)^2+7(x-y)-6
=[5(x-y)-3](x-y+2)
=(5x-5y-3)(x-y+2)
十字相乘
5(x-y) ﹣3
x-y 2