The length, width, and height of a rectangular prism can be represented by the expressions (x+3), (x+7) and (x-1). what is the volume of the prism?

Ans:

x^3 + 9x^2 + 11x - 21

Step-by-step explanation:

length * width * height = volume

(x+3)(x+7)(x-1)

(x+3)(x+7)(x) + (x+3)(x+7)(-1)

x^3 + 10x^2 + 21x - x^2 - 10x - 21

x^3 + 9x^2 + 11x - 21

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).