SOLUTION: I am having trouble understanding how the answer was arived at on the following problem: 5X^2Y^2Z^3-X^2Y WHERE X=-2, Y=5, Z=-1 Here is my work 5*-2^2*5^2*-1^3--2^2*5 =500 -

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Question 6173: I am having trouble understanding how the answer was arived at on the following problem:
5X^2Y^2Z^3-X^2Y WHERE X=-2, Y=5, Z=-1
Here is my work
5*-2^2*5^2*-1^3--2^2*5
=500 - (-)20
=520
The answer from my test was -520. How is this negative?

Found 2 solutions by ichudov, guapa:
Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!
Start with
them REPLACE X with -2, Y with 5, Z with -1:

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: simplifies to
  • Text form: 5*(-2)^2*5^2*(-1)^3-(-2)^2*5 simplifies to -520
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 5*(-2)^2*5^2*(-1)^3-(-2)^2*5 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Replace constants in factor: highlight_red%28+%28-2%29+%29,highlight_red%28+2+%29 with highlight_green%28+4+%29
It becomes .
Look at .
Replace constants in factor: highlight_red%28+5+%29,highlight_red%28+2+%29 with highlight_green%28+25+%29
It becomes .
Look at .
Replace constants in factor: highlight_red%28+%28-1%29+%29,highlight_red%28+3+%29 with highlight_green%28+-1+%29
It becomes .
Look at .
Replace constants in factor: highlight_red%28+%28-2%29+%29,highlight_red%28+2+%29 with highlight_green%28+4+%29
It becomes .
Look at .
Replace constants in expression: highlight_red%28+5%2A4%2A25%2A-1+%29,highlight_red%28+-4%2A5+%29 with highlight_green%28+-520+%29
It becomes .
Look at .
Removed extra sign in front of -520
It becomes .
Result:

Universal Simplifier and Solver


Done!
Answer by guapa(62)   (Show Source): You can put this solution on YOUR website!
Let me split it up and compute the variables first.
= to multiply 2 negative signs equals a positive.
=
= as a tip to remember: if the number of negatie signs to multiply is an odd number (here 3) then the answer is negative.
=
Now let's substitute the variables for the computed values.
and we get
which equals to

Hope this helps
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