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# Algebra

1. Factor the following expression completely
36x3 - 16x

2. Andrew factored the expression 28x^3-6x^2-10x as 2x(14x^3-3x^2-5x). But when Melissa applied the distributive law and multiplied out 2x(14x^3-3x^2-5x), she got 28x^4-6x^3-10x^2 ; thus, Andrew's solution does not appear to check. Why is that? Please help Andrew to understand this better. Explain your reasoning and correctly factor the original expression, if possible. If the expression is prime, so state.

3. The area of a rectangular athletic field is represented by the expression 36y^2-81z^2 square meters. Write an algebraic expression to represent one possible set of dimensions (in the sense "length times width") of the athletic field. Include correct units with your solution.

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1. Factor the following expression completely
36x^3 - 16x

36x^3 - 16x
Factor 4x
4x(9x^2 - 4)
Use the difference of two squares
4x((3x)^2-22)
4x(3x-2)(3x+2)

2. Andrew factored the expression 28x^3-6x^2-10x as 2x(14x^3-3x^2-5x). But when Melissa applied ...

#### Solution Summary

The expert examines the factors expression completely.

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