SOLUTION: I NEED HELP WITH: (x^2 - 3x + 5)+(x^2 + 2x - 3)

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Question 35293: I NEED HELP WITH:
(x^2 - 3x + 5)+(x^2 + 2x - 3)
Answer by lyra(94) About Me  (Show Source):
You can put this solution on YOUR website!
You can only combine like terms, so:
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Here's what you tried:
  • Graphical form: %28x%5E2-3x%2B5%29%2B%28x%5E2%2B2x-3%29 simplifies to 2%2Ax%5E2-x%2B2
  • Text form: (x^2-3x+5)+(x^2+2x-3) simplifies to 2*x^2-x+2
  • Cartoon (animation) form: simplify_cartoon%28+%28x%5E2-3x%2B5%29%2B%28x%5E2%2B2x-3%29+%29
    For tutors: simplify_cartoon( (x^2-3x+5)+(x^2+2x-3) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28x%5E2-3%2Ax%2B5%29+%29%2B%28x%5E2%2B2%2Ax-3%29.
Remove unneeded parentheses around terms highlight_red%28+x%5E2+%29,highlight_red%28+-3%2Ax+%29,highlight_red%28+5+%29
It becomes highlight_green%28+x%5E2+%29-highlight_green%28+3%2Ax+%29%2Bhighlight_green%28+5+%29%2B%28x%5E2%2B2%2Ax-3%29.
Look at x%5E2-3%2Ax%2B5%2Bhighlight_red%28+%28x%5E2%2B2%2Ax-3%29+%29.
Remove unneeded parentheses around terms highlight_red%28+x%5E2+%29,highlight_red%28+2%2Ax+%29,highlight_red%28+-3+%29
It becomes x%5E2-3%2Ax%2B5%2Bhighlight_green%28+x%5E2+%29%2Bhighlight_green%28+2%2Ax+%29-highlight_green%28+3+%29.
Look at x%5E2-3%2Ax%2Bhighlight_red%28+5+%29%2Bx%5E2%2B2%2Ax-highlight_red%28+3+%29.
Added fractions or integers together
It becomes x%5E2-3%2Ax%2Bhighlight_green%28+2+%29%2Bx%5E2%2B2%2Ax.
Look at x%5E2-3%2Ax%2Bhighlight_red%28+2+%29%2Bx%5E2%2B2%2Ax.
Moved 2 to the right of expression
It becomes x%5E2-3%2Ax%2Bx%5E2%2B2%2Ax%2Bhighlight_green%28+2+%29.
Look at highlight_red%28+x%5E2+%29-3%2Ax%2Bhighlight_red%28+x%5E2+%29%2B2%2Ax%2B2.
Eliminated similar terms highlight_red%28+x%5E2+%29,highlight_red%28+x%5E2+%29 replacing them with highlight_green%28+%281%2B1%29%2Ax%5E2+%29
It becomes highlight_green%28+%281%2B1%29%2Ax%5E2+%29-3%2Ax%2B2%2Ax%2B2.
Look at %281%2B1%29%2Ax%5E2-highlight_red%28+3%2Ax+%29%2Bhighlight_red%28+2%2Ax+%29%2B2.
Eliminated similar terms highlight_red%28+-3%2Ax+%29,highlight_red%28+2%2Ax+%29 replacing them with highlight_green%28+%28-3%2B2%29%2Ax+%29
It becomes %281%2B1%29%2Ax%5E2%2Bhighlight_green%28+%28-3%2B2%29%2Ax+%29%2B2.
Look at %28highlight_red%28+1+%29%2Bhighlight_red%28+1+%29%29%2Ax%5E2%2B%28-3%2B2%29%2Ax%2B2.
Added fractions or integers together
It becomes %28highlight_green%28+2+%29%29%2Ax%5E2%2B%28-3%2B2%29%2Ax%2B2.
Look at %282%29%2Ax%5E2%2B%28-highlight_red%28+3+%29%2Bhighlight_red%28+2+%29%29%2Ax%2B2.
Added fractions or integers together
It becomes %282%29%2Ax%5E2%2B%28highlight_green%28+-1+%29%29%2Ax%2B2.
Look at %282%29%2Ax%5E2%2B%28highlight_red%28+-1+%29%29%2Ax%2B2.
Removed extra sign in front of -1
It becomes %282%29%2Ax%5E2%2B%28-highlight_green%28+1+%29%29%2Ax%2B2.
Look at highlight_red%28+%28highlight_red%28+2+%29%29%2Ax%5E2+%29%2B%28-1%29%2Ax%2B2.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes highlight_green%28+2+%29%2Ax%5E2%2B%28-1%29%2Ax%2B2.
Look at 2%2Ax%5E2%2Bhighlight_red%28+%28-highlight_red%28+1+%29%29%2Ax+%29%2B2.
Remove unneeded parentheses around factor highlight_red%28+1+%29
It becomes 2%2Ax%5E2-highlight_green%28+1+%29%2Ax%2B2.
Look at 2%2Ax%5E2-highlight_red%28+1+%29%2Ax%2B2.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes 2%2Ax%5E2-x%2B2.
Result: 2%2Ax%5E2-x%2B2

Universal Simplifier and Solver


Done!


Hope this helps,
lyra