SOLUTION: PLease help to simplify by adding like terms : {a/x - 3a^2*c^0x^-1 / a) + (4x^-1 / aa^-2)

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Question 68598This question is from textbook An Incremental Development
: PLease help to simplify by adding like terms :
{a/x - 3a^2*c^0x^-1 / a) + (4x^-1 / aa^-2)
This question is from textbook An Incremental Development

Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
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YOUR ANSWER


  • Graphical form: simplifies to
  • Text form: (a/x-3a^2*c^0x^-1/a)+(4x^-1/a*a^-2) simplifies to -2*a/x+4/x/a^3
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (a/x-3a^2*c^0x^-1/a)+(4x^-1/a*a^-2) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at .
Remove unneeded parentheses around terms highlight_red%28+a%2Fx+%29,highlight_red%28+-3%2Aa%5E2%2Ac%5E0%2Ax%5E-1%2Fa+%29
It becomes .

Look at .
Remove unneeded parentheses around terms highlight_red%28+4%2Ax%5E-1%2Fa%2Aa%5E-2+%29
It becomes .

Look at .
Removing power highlight_red%28+c+%29 to degree of highlight_green%28+0+%29

Look at .
Reduce similar several occurrences of highlight_red%28+a%5E2+%29 to highlight_green%28+a%5E%28-1%2B2%29+%29
It becomes .

Look at .
Reduce similar several occurrences of highlight_red%28+1%2Fa+%29 to highlight_green%28+a%5E%28-1%2B-2%29+%29
It becomes .

Look at .
Removed extra sign in front of -1
It becomes .

Look at .
Removed extra sign in front of -1
It becomes .

Look at .
Removed extra sign in front of -2
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -3
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removing power of one highlight_red%28+%281%29+%29

Look at .
Negative power changes multiplication to division
It becomes .

Look at .
Negative power changes multiplication to division
It becomes .

Look at .
Negative power changes multiplication to division
It becomes .

Look at .
Removing power of one highlight_red%28+1+%29

Look at .
Removing power of one highlight_red%28+1+%29

Look at .
Eliminated similar terms highlight_red%28+a%2Fx+%29,highlight_red%28+-3%2Aa%2Fx+%29 replacing them with highlight_green%28+%281-3%29%2Aa%2Fx+%29
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -2
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!

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