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.
Accepted Solution
A:
Answer:V = 6x²(2x - 5)Step-by-step explanation:Factor the dimensions, that is24x² + 6x = 6x(4x + 1) ← common factor of 6xx² - x = x(x - 1) ← common factor of xThe product lwh can now be writtenV = [tex]\frac{6x(4x+1)}{x-1}[/tex] × (2x - 5) × [tex]\frac{x(x-1)}{4x+1}[/tex]Cancel the factors (4x + 1) and (x - 1) from the numerators/ denominatorsV = 6x × x × (2x - 5) = 6x²(2x - 5) ← in factored form