SOLUTION: 4d - (5c + 4d)

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Question 22025: 4d - (5c + 4d)
Answer by Alwayscheerful(414) 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: 4d-%285c%2B4d%29 simplifies to -5%2Ac
  • Text form: 4d-(5c+4d) simplifies to -5*c
  • Cartoon (animation) form: simplify_cartoon%28+4d-%285c%2B4d%29+%29
    For tutors: simplify_cartoon( 4d-(5c+4d) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 4%2Ad-highlight_red%28+%285%2Ac%2B4%2Ad%29+%29.
Remove unneeded parentheses around terms highlight_red%28+-5%2Ac+%29,highlight_red%28+-4%2Ad+%29
It becomes 4%2Ad-highlight_green%28+5%2Ac+%29-highlight_green%28+4%2Ad+%29.
Look at highlight_red%28+4%2Ad+%29-5%2Ac-highlight_red%28+4%2Ad+%29.
Eliminated similar terms highlight_red%28+4%2Ad+%29,highlight_red%28+-4%2Ad+%29 replacing them with highlight_green%28+%284-4%29%2Ad+%29
It becomes highlight_green%28+%284-4%29%2Ad+%29-5%2Ac.
Look at highlight_red%28+%284-4%29%2Ad+%29-5%2Ac.
Since highlight_red%28+%284-4%29%2Ad+%29 has zero as a factor, it should be replaced with a zero
Look at 0-5%2Ac.
Added fractions or integers together
It becomes 0-5%2Ac.
Look at highlight_red%28+0+%29-5%2Ac.
Remove extraneous zero highlight_red%28+0+%29
It becomes -5%2Ac.
Result: -5%2Ac

Universal Simplifier and Solver


Done!

Hope this helps!