Zach keeps his pet chameleon Pinky in a terrarium with the dimensions shown below. There's sand in the bottom of the terrarium that reaches a height of 8888 centimeters. Zach gets a new terrarium for Pinky that is larger. The base of the new terrarium is 25252525 by 64646464 centimeters. Zach moved the existing sand to the new terrarium. How deep will the sand be in the new terrarium?

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).