最佳回答取４０分：呢多幾條數學題

12v-12v^2-6u+3u^2
=3(4v-4v^2-2u+u^2)
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8-40L+50L^2
=2(4-20L+25L^2)
=2(2-5L)^2
--------------------------------------------
36a^2+120ab+100b^2
=4(9a^2+30ab+25b^2)
=4(3a+5b)^2
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4(x-y)^2-4z(x-y)+z^2
=(2(x-y)-z)^2
=(2x-2y-z)^2
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w^4+18w^2 x^2+81x^4
=(w^2+9x^2)^2
=((w+3xi)(w-3xi))^2
-----------------------------------------------
m^4-18m^2+81
=(m^2-9)^2
=((m+3)(m-3))^2

8-40L+50L^2
=2(25L^2-20L+4)
=2(5L-2)^2//

36a^2+120ab+100b^2
=(6a)^2+2(6a)(10b)+(10b)^2
=(6a+10b)^2
=4(3a+10b)^2//

4(x-y)^2-4z(x-y)+z^2
=[2(x-y)]^2-4[2(x-y)](z)+z^2
=[2(x-y)-z]^2//

w^4+18w^2 x^2+81x^4
=(w^2)^2+2(9x^2)(w^2)+(9x^2)^2
=(w^2+9x^2)^2//

m^4-18m^2+81
=(m^2)^2-2(9)m^2+9^2
=(m^2-9)^2
=[(m-3)(m+3)]^2
=(m+3)^2 (m-3)^2//