SOLUTION: Here is the question: 2v(3v2-1) - (6-8v3+14v)+3 here is my attempt: 6v3-2v - 6+6v2+3 4v2-3=6v2 What is the rule with exponents ? ~Tabitha

Algebra ->  College  -> Linear Algebra -> SOLUTION: Here is the question: 2v(3v2-1) - (6-8v3+14v)+3 here is my attempt: 6v3-2v - 6+6v2+3 4v2-3=6v2 What is the rule with exponents ? ~Tabitha      Log On


   

Question 6497: Here is the question:
2v(3v2-1) - (6-8v3+14v)+3
here is my attempt:
6v3-2v - 6+6v2+3
4v2-3=6v2
What is the rule with exponents ?

~Tabitha
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
you are trying to get to an equation, but you started off with what is NOT an equation. Maybe you mistyped your question. Let me use my simplifier to simplify your expression
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: 2v%2A%283v%5E2-1%29-%286-8v%5E3%2B14v%29%2B3 simplifies to 6%2Av%5E%283%29-16%2Av%2B8%2Av%5E3-3
  • Text form: 2v*(3v^2-1)-(6-8v^3+14v)+3 simplifies to 6*v^(3)-16*v+8*v^3-3
  • Cartoon (animation) form: simplify_cartoon%28+2v%2A%283v%5E2-1%29-%286-8v%5E3%2B14v%29%2B3+%29
    For tutors: simplify_cartoon( 2v*(3v^2-1)-(6-8v^3+14v)+3 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 2%2Av%2A%283%2Av%5E2-1%29-highlight_red%28+%286-8%2Av%5E3%2B14%2Av%29+%29%2B3.
Remove unneeded parentheses around terms highlight_red%28+-6+%29,highlight_red%28+8%2Av%5E3+%29,highlight_red%28+-14%2Av+%29
It becomes .
Look at 2%2Av%2A%283%2Av%5E2-1%29-highlight_red%28+6+%29%2B8%2Av%5E3-14%2Av%2Bhighlight_red%28+3+%29.
Added fractions or integers together
It becomes 2%2Av%2A%283%2Av%5E2-1%29%2Bhighlight_green%28+-3+%29%2B8%2Av%5E3-14%2Av.
Look at 2%2Av%2A%283%2Av%5E2-1%29%2Bhighlight_red%28+-3+%29%2B8%2Av%5E3-14%2Av.
Moved -3 to the right of expression
It becomes 2%2Av%2A%283%2Av%5E2-1%29%2B8%2Av%5E3-14%2Av%2Bhighlight_green%28+-3+%29.
Look at 2%2Av%2A%283%2Av%5E2-1%29%2B8%2Av%5E3-14%2Av%2Bhighlight_red%28+-3+%29.
Removed extra sign in front of -3
It becomes 2%2Av%2A%283%2Av%5E2-1%29%2B8%2Av%5E3-14%2Av-highlight_green%28+3+%29.
Look at highlight_red%28+2%2Av%2A%283%2Av%5E2-1%29+%29%2B8%2Av%5E3-14%2Av-3.
Expanded term 2%2Av by using associative property on %283%2Av%5E2-1%29
It becomes .
Look at highlight_red%28+2+%29%2Av%2Ahighlight_red%28+3+%29%2Av%5E2-2%2Av%2A1%2B8%2Av%5E3-14%2Av-3.
Multiplied numerator integers
It becomes highlight_green%28+6+%29%2Av%2Av%5E2-2%2Av%2A1%2B8%2Av%5E3-14%2Av-3.
Look at 6%2Av%2Av%5E2-highlight_red%28+2+%29%2Av%2Ahighlight_red%28+1+%29%2B8%2Av%5E3-14%2Av-3.
Multiplied numerator integers
It becomes 6%2Av%2Av%5E2-highlight_green%28+2+%29%2Av%2B8%2Av%5E3-14%2Av-3.
Look at 6%2Ahighlight_red%28+v+%29%2Ahighlight_red%28+v%5E2+%29-2%2Av%2B8%2Av%5E3-14%2Av-3.
Reduce similar several occurrences of highlight_red%28+v+%29 to highlight_green%28+v%5E%281%2B2%29+%29
It becomes 6%2Ahighlight_green%28+v%5E%281%2B2%29+%29-2%2Av%2B8%2Av%5E3-14%2Av-3.
Look at 6%2Av%5E%28highlight_red%28+1+%29%2Bhighlight_red%28+2+%29%29-2%2Av%2B8%2Av%5E3-14%2Av-3.
Added fractions or integers together
It becomes 6%2Av%5E%28highlight_green%28+3+%29%29-2%2Av%2B8%2Av%5E3-14%2Av-3.
Look at 6%2Av%5E%283%29-highlight_red%28+2%2Av+%29%2B8%2Av%5E3-highlight_red%28+14%2Av+%29-3.
Eliminated similar terms highlight_red%28+-2%2Av+%29,highlight_red%28+-14%2Av+%29 replacing them with highlight_green%28+%28-2-14%29%2Av+%29
It becomes 6%2Av%5E%283%29%2Bhighlight_green%28+%28-2-14%29%2Av+%29%2B8%2Av%5E3-3.
Look at 6%2Av%5E%283%29%2B%28-highlight_red%28+2+%29-highlight_red%28+14+%29%29%2Av%2B8%2Av%5E3-3.
Added fractions or integers together
It becomes 6%2Av%5E%283%29%2B%28highlight_green%28+-16+%29%29%2Av%2B8%2Av%5E3-3.
Look at 6%2Av%5E%283%29%2B%28highlight_red%28+-16+%29%29%2Av%2B8%2Av%5E3-3.
Removed extra sign in front of -16
It becomes 6%2Av%5E%283%29%2B%28-highlight_green%28+16+%29%29%2Av%2B8%2Av%5E3-3.
Look at 6%2Av%5E%283%29%2Bhighlight_red%28+%28-highlight_red%28+16+%29%29%2Av+%29%2B8%2Av%5E3-3.
Remove unneeded parentheses around factor highlight_red%28+16+%29
It becomes 6%2Av%5E%283%29-highlight_green%28+16+%29%2Av%2B8%2Av%5E3-3.
Result: 6%2Av%5E%283%29-16%2Av%2B8%2Av%5E3-3

Universal Simplifier and Solver


Done!