quickstudent
  • quickstudent
Can someone please help me with this? factoring a sum of cubes
Mathematics
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quickstudent
  • quickstudent
Can someone please help me with this? factoring a sum of cubes
Mathematics
katieb
  • katieb
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quickstudent
  • quickstudent
How am I supposed to write the expression here?
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Directrix
  • Directrix
One of the cubes has an edge of 1 and the other has an edge of x. As given in the problem, the volume of a cube is length times width times height. Because all those measures are the same in a cube, the volume of a cube is the cube of the measure of one of its edges.
Directrix
  • Directrix
Cube I with edge of l foot has volume 1*1*1 = 1 cubic foot. Cube 2 with edge x has volume x*x*x = x^3 cubic feet.

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Directrix
  • Directrix
Total volume = 1 + x^3 or V = x^3 + 1. @quickstudent The title of the thread is factoring a sum of cubes. Is there another part to this?
quickstudent
  • quickstudent
Yes, there is. Here's the whole question.
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Directrix
  • Directrix
To factor x^3 + 1, take a look at the attached pattern for doing that.
Directrix
  • Directrix
Follow the pattern of the first one which is the sum of two cubes.
Directrix
  • Directrix
Be brave and see what you can do. x^3 + 1 = (x + 1) * ( ? - ? + ?)
quickstudent
  • quickstudent
Okay, this is what I got now
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Directrix
  • Directrix
@quickstudent Looks good.

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