標題:

mathsssss因式分解thx

發問:

因式分解 3) 75(m-3n)^2-27(2m-5n)^2 4) 3u^2-12v^2-6u+12v

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最佳解答:

3) 75(m-3n)2-27(2m-5n)2 =3[25(m-3n)2-9(2m-5n)2] =3{[5(m-3n)]2-[3(2m-5n)]2} =3[5(m-3n)-3(2m-5n)][5(m-3n)+3(2m-5n)] =3(5m-15n-6m+15n)(5m-15n+6m-15n) =3(-m)(11m-30n) =-3m(11m-30n) 4) 3u2-12v2-6u+12v =3(u2-4v2)-6(u-2v) =3(u-2v)(u+2v)-6(u-2v) =3(u-2v)[(u+2v)-2] =3(u-2v)(u+2v-2)

其他解答:

因式分解 3) 75(m-3n)^2-27(2m-5n)^2 = 3[25(m-3n)^2-9(2m-5n)^2] = 3{[5(m-3n)]^2-[3(2m-5n)]^2} = 3[5(m-3n)-3(2m-5n)][5(m-3n)+3(2m-5n)] = 3(5m-15n-6m+15n)(5m-15n+6m-15n) = 3(-m)(11m-30n) = -3m(11m-30n) 4) 3u2-12v2-6u+12v = 3(u2-4v2)-6(u-2v) = 3(u-2v)(u+2v)-6(u-2v) = 3(u-2v)[(u+2v)-2]
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