因式分解：25(m+n-3)^2-9(3m-2n)^2

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因式分解：25(m+n-3)^2-9(3m-2n)^2
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因式分解：25(m+n-3)^2-9(3m-2n)^2
因式分解：25(m+n-3)^2-9(3m-2n)^2

因式分解：25(m+n-3)^2-9(3m-2n)^2
你好,
原式=(5m+5n-15)^2-(9m-6n)^2
=(5m+5n-15+9m-6n)(5m+5n-15-9m+6n)
=(14m-n-15)(11n-4m-15)

25(m+n-3)^2-9(3m-2n)^2
=[5(m+n-3)+3(3m-2n)][5(m+n-3)-3(3m-2n)]
=(5m+5n-15+9m-6n)(5m+5n-15-9m+6n)
=(14m-n-15)(-4m+11n-15)12x^2-11xy-15y^212x^2-11xy-15y^2
=(4x+3y)(3x-5y)6x^2-5xy-6y^2+2x...

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25(m+n-3)^2-9(3m-2n)^2
=[5(m+n-3)+3(3m-2n)][5(m+n-3)-3(3m-2n)]
=(5m+5n-15+9m-6n)(5m+5n-15-9m+6n)
=(14m-n-15)(-4m+11n-15)

收起

25（m+n-3）²-9（3m-2n）²=[5(m+n-3)+3(3m-2n)][5(m+n-3)-3(3m-2n)]=(5m+5n-15+9m-6n)(5m+5n-15-9m+6n)=(14m-n-15)(-4m+11n-15)

(14m-n-15)(-4m+11n-15)

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