作业帮(lg3(lg2+lg5)/lg2lg5) *[ lg5(lg3+lg9)/lg3lg9]*lg2=(lg3+2lg3)/2lg3,分解因式,怎么分解的{[lg3(lg2+lg5)/lg2lg5)] * [ lg5(lg3+lg9)/lg3lg9]}*lg2 = (lg3+2lg3)/2lg3,分解因式，怎么分解的
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![(lg3(lg2+lg5)/lg2lg5) *[ lg5(lg3+lg9)/lg3lg9]*lg2=(lg3+2lg3)/2lg3,分解因式,怎么分解的{[lg3(lg2+lg5)/lg2lg5)] * [ lg5(lg3+lg9)/lg3lg9]}*lg2 = (lg3+2lg3)/2lg3,分解因式，怎么分解的](/uploads/image/z/10885197-21-7.jpg?t=%28lg3%28lg2%2Blg5%29%2Flg2lg5%29+%2A%5B+lg5%28lg3%2Blg9%29%2Flg3lg9%5D%2Alg2%3D%28lg3%2B2lg3%29%2F2lg3%2C%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%2C%E6%80%8E%E4%B9%88%E5%88%86%E8%A7%A3%E7%9A%84%7B%5Blg3%28lg2%2Blg5%29%2Flg2lg5%29%5D+%2A+%5B+lg5%28lg3%2Blg9%29%2Flg3lg9%5D%7D%2Alg2++%3D+%28lg3%2B2lg3%29%2F2lg3%2C%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%EF%BC%8C%E6%80%8E%E4%B9%88%E5%88%86%E8%A7%A3%E7%9A%84)
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(lg3(lg2+lg5)/lg2lg5) *[ lg5(lg3+lg9)/lg3lg9]*lg2=(lg3+2lg3)/2lg3,分解因式,怎么分解的{[lg3(lg2+lg5)/lg2lg5)] * [ lg5(lg3+lg9)/lg3lg9]}*lg2 = (lg3+2lg3)/2lg3,分解因式，怎么分解的
(lg3(lg2+lg5)/lg2lg5) *[ lg5(lg3+lg9)/lg3lg9]*lg2=(lg3+2lg3)/2lg3,分解因式,怎么分解的
{[lg3(lg2+lg5)/lg2lg5)] *
[ lg5(lg3+lg9)/lg3lg9]}*lg2 = (lg3+2lg3)/2lg3,分解因式，怎么分解的
(lg3(lg2+lg5)/lg2lg5) *[ lg5(lg3+lg9)/lg3lg9]*lg2=(lg3+2lg3)/2lg3,分解因式,怎么分解的{[lg3(lg2+lg5)/lg2lg5)] * [ lg5(lg3+lg9)/lg3lg9]}*lg2 = (lg3+2lg3)/2lg3,分解因式，怎么分解的
首先: lg2+lg5=lg10=1
lg9=lg3²=2lg3
(lg3(lg2+lg5)/lg2lg5) *[ lg5(lg3+lg9)/lg3lg9]*lg2
=lg3/lg2lg5 ×lg5×3lg3/2lg3lg3 ×lg2
=3/2
(lg3(lg2+lg5)/lg2lg5) *[ lg5(lg3+lg9)/lg3lg9]*lg2=(lg3+2lg3)/2lg3,分解因式,怎么分解的{[lg3(lg2+lg5)/lg2lg5)] * [ lg5(lg3+lg9)/lg3lg9]}*lg2 = (lg3+2lg3)/2lg3,分解因式，怎么分解的
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