SOLUTION: Hi, I am not sure where to start with this problem. Simplify 5x^2y-2x^2y(2+y)+8x^2y^2...... Thanks so much for any help... I'm just not sure where to start.... the part with t

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Question 7233: Hi, I am not sure where to start with this problem. Simplify 5x^2y-2x^2y(2+y)+8x^2y^2...... Thanks so much for any help... I'm just not sure where to start.... the part with the parentheses throws me off....
Thanks,
Ashley
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: 5x^2y-2x^2y*(2+y)+8x^2y^2 simplifies to x^2*y+6*x^2*y^2
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 5x^2y-2x^2y*(2+y)+8x^2y^2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved 2 to the right of expression
It becomes .
Look at .
Expanded term -2%2Ax%5E2%2Ay by using associative property on %28y%2B2%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Reduce similar several occurrences of highlight_red%28+y+%29 to highlight_green%28+y%5E2+%29
It becomes .
Look at .
Eliminated similar terms highlight_red%28+5%2Ax%5E2%2Ay+%29,highlight_red%28+-4%2Ax%5E2%2Ay+%29 replacing them with highlight_green%28+%285-4%29%2Ax%5E2%2Ay+%29
It becomes .
Look at .
Eliminated similar terms highlight_red%28+-2%2Ax%5E2%2Ay%5E2+%29,highlight_red%28+8%2Ax%5E2%2Ay%5E2+%29 replacing them with highlight_green%28+%28-2%2B8%29%2Ax%5E2%2Ay%5E2+%29
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+%285-4%29+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!
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