回答:
#(C-17D)(C + 5D)#
说明:
#“使用a-c方法”#
#“因子 - -85总和为-12 = -17和+ 5”#
#rArrc ^ 2-12cd-85D ^ 2 =(C-17D)(C + 5D)#
回答:
#(c + 5d)(c - 17d)#
说明:
#c ^ 2 - 12 cd - 85 d ^ 2 =(c + ad)(c - bd)#
#=> ab = 85,a-b = -12#
#=> a = b - 12#
#=>(b-12)b = 85#
#=> b ^ 2 - 12 b - 85 = 0#
#“disc =”12 ^ 2 + 4 * 85 = 484 = 22 ^ 2#
#=> b =(12 pm 22)/ 2 = 6 pm 11 = -5或17#
#=>(a,b)=( - 17,-5)或(5,17)#
#=> c ^ 2 - 12 cd - 85 d ^ 2 =(c + 5d)(c - 17d)#