SOLUTION: Dear Tutor, It would be really very nice of you to evaluate this question for me. Evaluate: 2a-{4[b-3(a-2xb-2a)]-10(3b-5a)] Thank you

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Question 6788: Dear Tutor,
It would be really very nice of you to evaluate this question for me.
Evaluate:
2a-{4[b-3(a-2xb-2a)]-10(3b-5a)]
Thank you

Answer by ichudov(507)   (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: simplifies to
  • Text form: 2a-(4*(b-3*(a-2xb-2a))-10*(3b-5a)) simplifies to -60*a+26*b-24*xb
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 2a-(4*(b-3*(a-2xb-2a))-10*(3b-5a)) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at .
Remove unneeded parentheses around terms highlight_red%28+-4%2A%28b-3%2A%28a-2%2Axb-2%2Aa%29%29+%29,highlight_red%28+10%2A%283%2Ab-5%2Aa%29+%29
It becomes .

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

Look at .
Added fractions or integers together
It becomes .

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

Look at .
Remove unneeded parentheses around factor highlight_red%28+1+%29
It becomes .

Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes .

Look at .
Expanded term -3 by using associative property on %28-a-2%2Axb%29
It becomes .

Look at .
Expanded term -4 by using associative property on %28b%2B3%2Aa%2B3%2A2%2Axb%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Eliminated similar terms highlight_red%28+2%2Aa+%29,highlight_red%28+-12%2Aa+%29 replacing them with highlight_green%28+%282-12%29%2Aa+%29
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -10
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+10+%29
It becomes .

Look at .
Expanded term 10 by using associative property on %283%2Ab-5%2Aa%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Eliminated similar terms highlight_red%28+-10%2Aa+%29,highlight_red%28+-50%2Aa+%29 replacing them with highlight_green%28+%28-10-50%29%2Aa+%29
It becomes .

Look at .
Eliminated similar terms highlight_red%28+-4%2Ab+%29,highlight_red%28+30%2Ab+%29 replacing them with highlight_green%28+%28-4%2B30%29%2Ab+%29
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -60
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+60+%29
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+26+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!

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