Using V = lwh , find an expression in factored form for the volume of this prism. Explain the general steps you used to arrive a
2 answers:
Answer:
Write 2x – 5 over 1.
Factor numerators and denominators, when possible
Divide out common factors to simplify.
Determine that the volume is (x)(6x)(2x – 5).
Step-by-step explanation:
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
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