Using v = lwh , find an expression in factored form for the volume of this prism. explain the general steps you used to arrive at this answer.

V = 6x²(2x - 5)

Step-by-step explanation:

Factor the dimensions, that is

24x² + 6x = 6x(4x + 1) ← common factor of 6x

x² - x = x(x - 1) ← common factor of x

The product lwh can now be written

V = × (2x - 5) ×

Cancel the factors (4x + 1) and (x - 1) from the numerators/ denominators

V = 6x × x × (2x - 5) = 6x²(2x - 5) ← in factored form