SOLUTION: what is (3a-5)-(5a+1)?

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Question 631432: what is (3a-5)-(5a+1)?
Answer by 55305(86) About Me  (Show Source):
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: %283a-5%29-%285a%2B1%29 simplifies to -2%2Aa-6
  • Text form: (3a-5)-(5a+1) simplifies to -2*a-6
  • Cartoon (animation) form: simplify_cartoon%28+%283a-5%29-%285a%2B1%29+%29
    For tutors: simplify_cartoon( (3a-5)-(5a+1) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%283%2Aa-5%29+%29-%285%2Aa%2B1%29.
Remove unneeded parentheses around terms highlight_red%28+3%2Aa+%29,highlight_red%28+-5+%29
It becomes highlight_green%28+3%2Aa+%29-highlight_green%28+5+%29-%285%2Aa%2B1%29.
Look at 3%2Aa-5-highlight_red%28+%285%2Aa%2B1%29+%29.
Remove unneeded parentheses around terms highlight_red%28+-5%2Aa+%29,highlight_red%28+-1+%29
It becomes 3%2Aa-5-highlight_green%28+5%2Aa+%29-highlight_green%28+1+%29.
Look at 3%2Aa-highlight_red%28+5+%29-5%2Aa-highlight_red%28+1+%29.
Added fractions or integers together
It becomes 3%2Aa%2Bhighlight_green%28+-6+%29-5%2Aa.
Look at 3%2Aa%2Bhighlight_red%28+-6+%29-5%2Aa.
Moved -6 to the right of expression
It becomes 3%2Aa-5%2Aa%2Bhighlight_green%28+-6+%29.
Look at 3%2Aa-5%2Aa%2Bhighlight_red%28+-6+%29.
Removed extra sign in front of -6
It becomes 3%2Aa-5%2Aa-highlight_green%28+6+%29.
Look at highlight_red%28+3%2Aa+%29-highlight_red%28+5%2Aa+%29-6.
Eliminated similar terms highlight_red%28+3%2Aa+%29,highlight_red%28+-5%2Aa+%29 replacing them with highlight_green%28+%283-5%29%2Aa+%29
It becomes highlight_green%28+%283-5%29%2Aa+%29-6.
Look at %28highlight_red%28+3+%29-highlight_red%28+5+%29%29%2Aa-6.
Added fractions or integers together
It becomes %28highlight_green%28+-2+%29%29%2Aa-6.
Look at %28highlight_red%28+-2+%29%29%2Aa-6.
Removed extra sign in front of -2
It becomes %28-highlight_green%28+2+%29%29%2Aa-6.
Look at highlight_red%28+%28-highlight_red%28+2+%29%29%2Aa+%29-6.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes -highlight_green%28+2+%29%2Aa-6.
Result: -2%2Aa-6

Universal Simplifier and Solver


Done!