C-03-Q130mediumsingle_mcqFactorize a3−6a2+12a−9a^3 - 6a^2 + 12a - 9a3−6a2+12a−9:a(a−3)(a2−3a+3)(a-3)(a^2 - 3a + 3)(a−3)(a2−3a+3)b(a−3)3(a-3)^3(a−3)3c(a−2)3−1(a-2)^3 - 1(a−2)3−1d(a−3)(a2+3a+3)(a-3)(a^2 + 3a + 3)(a−3)(a2+3a+3)ব্যাখ্যাTesting a=3a=3a=3: 27−54+36−9=027-54+36-9=027−54+36−9=0, so (a−3)(a-3)(a−3) is a factor. Synthetic division yields the quotient a2−3a+3a^2-3a+3a2−3a+3, giving (a−3)(a2−3a+3)(a-3)(a^2-3a+3)(a−3)(a2−3a+3).