SOLUTION: Divide 72x^3-16x^2/-8x

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Question 96666: Divide
72x^3-16x^2/-8x
Answer by kiljoy(51) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: %2872x%5E3-16x%5E2%29%2F-8%2Fx simplifies to 72%2F-8%2Ax%5E2-16%2F-8%2Ax
  • Text form: (72x^3-16x^2)/-8/x simplifies to 72/-8*x^2-16/-8*x
  • Cartoon (animation) form: simplify_cartoon%28+%2872x%5E3-16x%5E2%29%2F-8%2Fx+%29
    For tutors: simplify_cartoon( (72x^3-16x^2)/-8/x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%2872%2Ax%5E3-16%2Ax%5E2%29+%29%2F-8%2Fhighlight_red%28+x+%29.
Canceled out common factors (x-(0))
Look at highlight_red%28+%2872%2Ax%5E2-16%2Ax%29%2F-8%2F%28highlight_red%28+1+%29%29+%29.
Remove unneeded parentheses around factor highlight_red%28+1%2F1+%29
It becomes %2872%2Ax%5E2-16%2Ax%29%2F-8%2Fhighlight_green%28+1+%29.
Look at %2872%2Ax%5E2-16%2Ax%29%2Fhighlight_red%28+-8+%29%2Fhighlight_red%28+1+%29.
Multiplied denominator integers
It becomes %2872%2Ax%5E2-16%2Ax%29%2Fhighlight_green%28+-8+%29.
Look at highlight_red%28+%2872%2Ax%5E2-16%2Ax%29%2F-8+%29.
Expanded term 1%2F-8 by using associative property on %2872%2Ax%5E2-16%2Ax%29
It becomes highlight_green%28+1%2F-8%2A72%2Ax%5E2+%29-highlight_green%28+1%2F-8%2A16%2Ax+%29.
Look at highlight_red%28+1+%29%2F-8%2Ahighlight_red%28+72+%29%2Ax%5E2-1%2F-8%2A16%2Ax.
Multiplied numerator integers
It becomes highlight_green%28+72+%29%2F-8%2Ax%5E2-1%2F-8%2A16%2Ax.
Look at 72%2F-8%2Ax%5E2-highlight_red%28+1+%29%2F-8%2Ahighlight_red%28+16+%29%2Ax.
Multiplied numerator integers
It becomes 72%2F-8%2Ax%5E2-highlight_green%28+16+%29%2F-8%2Ax.
Result: 72%2F-8%2Ax%5E2-16%2F-8%2Ax

Universal Simplifier and Solver


Done!