SOLUTION: i'm having trouble with some algebra problems like -3(2a - 5b) can you explain how it works. thank's

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Question 26273: i'm having trouble with some algebra problems like -3(2a - 5b) can you explain how it works. thank's
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: -3%2A%282a-5b%29 simplifies to -6%2Aa%2B15%2Ab
  • Text form: -3*(2a-5b) simplifies to -6*a+15*b
  • Cartoon (animation) form: simplify_cartoon%28+-3%2A%282a-5b%29+%29
    For tutors: simplify_cartoon( -3*(2a-5b) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at -highlight_red%28+3%2A%282%2Aa-5%2Ab%29+%29.
Expanded term -3 by using associative property on %282%2Aa-5%2Ab%29
It becomes -highlight_green%28+3%2A2%2Aa+%29%2Bhighlight_green%28+3%2A5%2Ab+%29.
Look at -highlight_red%28+3+%29%2Ahighlight_red%28+2+%29%2Aa%2B3%2A5%2Ab.
Multiplied numerator integers
It becomes -highlight_green%28+6+%29%2Aa%2B3%2A5%2Ab.
Look at -6%2Aa%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+5+%29%2Ab.
Multiplied numerator integers
It becomes -6%2Aa%2Bhighlight_green%28+15+%29%2Ab.
Result: -6%2Aa%2B15%2Ab

Universal Simplifier and Solver


Done!

Hope this helps!