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

Algebra ->  Polynomials-and-rational-expressions -> 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      Log On


   

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) 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: 5x%5E2y-2x%5E2y%2A%282%2By%29%2B8x%5E2y%5E2 simplifies to x%5E2%2Ay%2B6%2Ax%5E2%2Ay%5E2
  • Text form: 5x^2y-2x^2y*(2+y)+8x^2y^2 simplifies to x^2*y+6*x^2*y^2
  • Cartoon (animation) form: simplify_cartoon%28+5x%5E2y-2x%5E2y%2A%282%2By%29%2B8x%5E2y%5E2+%29
    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 5%2Ax%5E2%2Ay-2%2Ax%5E2%2Ay%2A%28highlight_red%28+2+%29%2By%29%2B8%2Ax%5E2%2Ay%5E2.
Moved 2 to the right of expression
It becomes 5%2Ax%5E2%2Ay-2%2Ax%5E2%2Ay%2A%28y%2Bhighlight_green%28+2+%29%29%2B8%2Ax%5E2%2Ay%5E2.
Look at 5%2Ax%5E2%2Ay-highlight_red%28+2%2Ax%5E2%2Ay%2A%28y%2B2%29+%29%2B8%2Ax%5E2%2Ay%5E2.
Expanded term -2%2Ax%5E2%2Ay by using associative property on %28y%2B2%29
It becomes .
Look at .
Multiplied numerator integers
It becomes 5%2Ax%5E2%2Ay-2%2Ax%5E2%2Ay%2Ay-highlight_green%28+4+%29%2Ax%5E2%2Ay%2B8%2Ax%5E2%2Ay%5E2.
Look at .
Reduce similar several occurrences of highlight_red%28+y+%29 to highlight_green%28+y%5E2+%29
It becomes 5%2Ax%5E2%2Ay-2%2Ax%5E2%2Ahighlight_green%28+y%5E2+%29-4%2Ax%5E2%2Ay%2B8%2Ax%5E2%2Ay%5E2.
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 highlight_green%28+%285-4%29%2Ax%5E2%2Ay+%29-2%2Ax%5E2%2Ay%5E2%2B8%2Ax%5E2%2Ay%5E2.
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 %285-4%29%2Ax%5E2%2Ay%2Bhighlight_green%28+%28-2%2B8%29%2Ax%5E2%2Ay%5E2+%29.
Look at highlight_red%28+%285-4%29+%29%2Ax%5E2%2Ay%2B%28-2%2B8%29%2Ax%5E2%2Ay%5E2.
Remove extraneous '1' from product highlight_red%28+%285-4%29+%29
It becomes x%5E2%2Ay%2B%28-2%2B8%29%2Ax%5E2%2Ay%5E2.
Look at x%5E2%2Ay%2B%28-highlight_red%28+2+%29%2Bhighlight_red%28+8+%29%29%2Ax%5E2%2Ay%5E2.
Added fractions or integers together
It becomes x%5E2%2Ay%2B%28highlight_green%28+6+%29%29%2Ax%5E2%2Ay%5E2.
Look at x%5E2%2Ay%2Bhighlight_red%28+%28highlight_red%28+6+%29%29%2Ax%5E2%2Ay%5E2+%29.
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes x%5E2%2Ay%2Bhighlight_green%28+6+%29%2Ax%5E2%2Ay%5E2.
Result: x%5E2%2Ay%2B6%2Ax%5E2%2Ay%5E2

Universal Simplifier and Solver


Done!