It takes 8 turkeys and 12 chickens 10 hours to eat a certain amount of grain, while it takes 6 turkeys and 8 chickens 14 hours to eat the same amount of grain. Find the time it would take 1 turkey alone and 1 chicken alone to eat the same amount of grain.

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).