8(3m - 1)(m - 1)
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It's not very scientific, but I usually solve these things with a mixture of common sense and trial and error. Call it educated guessing. The 3 in 3m2 only has two factors, so your brackets will start out with 3m and m. (3m )(m ) All of the operational signs are pluses. The brackets will have them too. (3m + )(m + ) Now you're looking for factors of 64 that will solve the equation. 64 only has four factor pairs, so it won't take long to try them all. 64 and 1 won't work. 32 and 2 won't work. 16 and 4 won't work. (3m + 8)(m + 8) Check it using the FOIL method. (First, Outside, Inside, Last) 3m x m = 3m2 3m x 8 = 24m 8 x m = 8m (24m + 8m = 32m) 8 x 8 = 64 (3m + 8)(m + 8) = 3m2 + 32m + 64. It checks.
(x+1)(x+8)
8(x + 1)
35x2 - 38x + 8
(b + 8)(b + 4)