SOLUTION: If a=2,b=3,c=4,d=5:solve {{{((a)^2-((b)-(c))^2)/((d)-(c))((b)-(a))}}}

Algebra ->  Exponents -> SOLUTION: If a=2,b=3,c=4,d=5:solve {{{((a)^2-((b)-(c))^2)/((d)-(c))((b)-(a))}}}      Log On


   

Question 1012030: If a=2,b=3,c=4,d=5:solve
%28%28a%29%5E2-%28%28b%29-%28c%29%29%5E2%29%2F%28%28d%29-%28c%29%29%28%28b%29-%28a%29%29
Answer by ValorousDawn(53) About Me  (Show Source):
You can put this solution on YOUR website!
I will be assuming that the 2s are exponents, and have edited your problem as such.
We can simply plug in the numbers.
%28%282%29%5E2-%28%283%29-%284%29%29%5E2%29%2F%28%285%29-%284%29%29%28%283%29-%282%29%29
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: %28%282%29%5E2-%28%283%29-%284%29%29%5E2%29%2F%28%285%29-%284%29%29%2F%28%283%29-%282%29%29 simplifies to 3
  • Text form: ((2)^2-((3)-(4))^2)/((5)-(4))/((3)-(2)) simplifies to 3
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( ((2)^2-((3)-(4))^2)/((5)-(4))/((3)-(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+3+%29
It becomes .
Look at .
Remove unneeded parentheses around terms highlight_red%28+-4+%29
It becomes .
Look at .
Remove unneeded parentheses around terms highlight_red%28+5+%29
It becomes .
Look at .
Remove unneeded parentheses around terms highlight_red%28+-4+%29
It becomes %28%282%29%5E2-%283-4%29%5E2%29%2F%285-highlight_green%28+4+%29%29%2F%28%283%29-%282%29%29.
Look at %28%282%29%5E2-%283-4%29%5E2%29%2F%285-4%29%2F%28highlight_red%28+%283%29+%29-%282%29%29.
Remove unneeded parentheses around terms highlight_red%28+3+%29
It becomes %28%282%29%5E2-%283-4%29%5E2%29%2F%285-4%29%2F%28highlight_green%28+3+%29-%282%29%29.
Look at %28%282%29%5E2-%283-4%29%5E2%29%2F%285-4%29%2F%283-highlight_red%28+%282%29+%29%29.
Remove unneeded parentheses around terms highlight_red%28+-2+%29
It becomes %28%282%29%5E2-%283-4%29%5E2%29%2F%285-4%29%2F%283-highlight_green%28+2+%29%29.
Look at %28%282%29%5E2-%283-4%29%5E2%29%2Fhighlight_red%28+%285-4%29+%29%2F%283-2%29.
Remove extraneous '1' from product highlight_red%28+1%2F%285-4%29+%29
It becomes %28%282%29%5E2-%283-4%29%5E2%29%2F%283-2%29.
Look at %28%282%29%5E2-%283-4%29%5E2%29%2Fhighlight_red%28+%283-2%29+%29.
Remove extraneous '1' from product highlight_red%28+1%2F%283-2%29+%29
It becomes %28%282%29%5E2-%283-4%29%5E2%29.
Look at %28highlight_red%28+%282%29+%29%5Ehighlight_red%28+2+%29-%283-4%29%5E2%29.
Replace constants in factor: highlight_red%28+%282%29+%29,highlight_red%28+2+%29 with highlight_green%28+4+%29
It becomes %28highlight_green%28+4+%29-%283-4%29%5E2%29.
Look at %284-%28highlight_red%28+3+%29-highlight_red%28+4+%29%29%5E2%29.
Added fractions or integers together
It becomes %284-%28highlight_green%28+-1+%29%29%5E2%29.
Look at %284-highlight_red%28+%28-1%29+%29%5Ehighlight_red%28+2+%29%29.
Replace constants in factor: highlight_red%28+%28-1%29+%29,highlight_red%28+2+%29 with highlight_green%28+1+%29
It becomes %284-highlight_green%28+1+%29%29.
Look at %28highlight_red%28+4+%29-highlight_red%28+1+%29%29.
Added fractions or integers together
It becomes %28highlight_green%28+3+%29%29.
Look at highlight_red%28+%283%29+%29.
Remove unneeded parentheses around terms highlight_red%28+3+%29
It becomes highlight_green%28+3+%29.
Result: 3

Universal Simplifier and Solver


Done!