You have a rectangular space where you plan to create an obstacle course for an animal. The area of the rectangular space is represented by the expression 12x^2 - 15x. The width of the rectangular space is represented by the expression 3x

Part A: Write an expression to represent the length of the rectangular space. Then simplify your expression. Show all your work.

Part B: Prove that your answer in part A is correct by multiplying the length and the width of the rectangle. Show all your work.

1 answer

Part A:
Expression: 12x^2 - 15x - 3x
Simplified Expression: 9x^2 - 15x

Part B:
Proof:
(9x^2 - 15x) * (3x)
= 27x^3 - 45x^2
= 12x^2 - 15x

Therefore, the expression 9x^2 - 15x is correct.
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