SOLUTION: Add: (4x^3-3x+9)+(-2x^2-4)+(8x+3x^3) Subtract: (7x^2-3x+1)-(9x^2-7x-3) I need help ASAP please and thank you so much!

Algebra ->  Exponents -> SOLUTION: Add: (4x^3-3x+9)+(-2x^2-4)+(8x+3x^3) Subtract: (7x^2-3x+1)-(9x^2-7x-3) I need help ASAP please and thank you so much!       Log On


   

Question 631768: Add:
(4x^3-3x+9)+(-2x^2-4)+(8x+3x^3)

Subtract:
(7x^2-3x+1)-(9x^2-7x-3)

I need help ASAP please and thank you so much!
Answer by 55305(86) 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: %284x%5E3-3x%2B9%29%2B%28-2x%5E2-4%29%2B%288x%2B3x%5E3%29 simplifies to 7%2Ax%5E3%2B5%2Ax-2%2Ax%5E2%2B5
  • Text form: (4x^3-3x+9)+(-2x^2-4)+(8x+3x^3) simplifies to 7*x^3+5*x-2*x^2+5
  • Cartoon (animation) form: simplify_cartoon%28+%284x%5E3-3x%2B9%29%2B%28-2x%5E2-4%29%2B%288x%2B3x%5E3%29+%29
    For tutors: simplify_cartoon( (4x^3-3x+9)+(-2x^2-4)+(8x+3x^3) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around terms highlight_red%28+4%2Ax%5E3+%29,highlight_red%28+-3%2Ax+%29,highlight_red%28+9+%29
It becomes .
Look at 4%2Ax%5E3-3%2Ax%2B9%2Bhighlight_red%28+%28-2%2Ax%5E2-4%29+%29%2B%288%2Ax%2B3%2Ax%5E3%29.
Remove unneeded parentheses around terms highlight_red%28+-2%2Ax%5E2+%29,highlight_red%28+-4+%29
It becomes .
Look at 4%2Ax%5E3-3%2Ax%2B9-2%2Ax%5E2-4%2Bhighlight_red%28+%288%2Ax%2B3%2Ax%5E3%29+%29.
Remove unneeded parentheses around terms highlight_red%28+8%2Ax+%29,highlight_red%28+3%2Ax%5E3+%29
It becomes .
Look at .
Added fractions or integers together
It becomes 4%2Ax%5E3-3%2Ax%2Bhighlight_green%28+5+%29-2%2Ax%5E2%2B8%2Ax%2B3%2Ax%5E3.
Look at 4%2Ax%5E3-3%2Ax%2Bhighlight_red%28+5+%29-2%2Ax%5E2%2B8%2Ax%2B3%2Ax%5E3.
Moved 5 to the right of expression
It becomes 4%2Ax%5E3-3%2Ax-2%2Ax%5E2%2B8%2Ax%2B3%2Ax%5E3%2Bhighlight_green%28+5+%29.
Look at highlight_red%28+4%2Ax%5E3+%29-3%2Ax-2%2Ax%5E2%2B8%2Ax%2Bhighlight_red%28+3%2Ax%5E3+%29%2B5.
Eliminated similar terms highlight_red%28+4%2Ax%5E3+%29,highlight_red%28+3%2Ax%5E3+%29 replacing them with highlight_green%28+%284%2B3%29%2Ax%5E3+%29
It becomes highlight_green%28+%284%2B3%29%2Ax%5E3+%29-3%2Ax-2%2Ax%5E2%2B8%2Ax%2B5.
Look at %284%2B3%29%2Ax%5E3-highlight_red%28+3%2Ax+%29-2%2Ax%5E2%2Bhighlight_red%28+8%2Ax+%29%2B5.
Eliminated similar terms highlight_red%28+-3%2Ax+%29,highlight_red%28+8%2Ax+%29 replacing them with highlight_green%28+%28-3%2B8%29%2Ax+%29
It becomes %284%2B3%29%2Ax%5E3%2Bhighlight_green%28+%28-3%2B8%29%2Ax+%29-2%2Ax%5E2%2B5.
Look at .
Added fractions or integers together
It becomes %28highlight_green%28+7+%29%29%2Ax%5E3%2B%28-3%2B8%29%2Ax-2%2Ax%5E2%2B5.
Look at %287%29%2Ax%5E3%2B%28-highlight_red%28+3+%29%2Bhighlight_red%28+8+%29%29%2Ax-2%2Ax%5E2%2B5.
Added fractions or integers together
It becomes %287%29%2Ax%5E3%2B%28highlight_green%28+5+%29%29%2Ax-2%2Ax%5E2%2B5.
Look at highlight_red%28+%28highlight_red%28+7+%29%29%2Ax%5E3+%29%2B%285%29%2Ax-2%2Ax%5E2%2B5.
Remove unneeded parentheses around factor highlight_red%28+7+%29
It becomes highlight_green%28+7+%29%2Ax%5E3%2B%285%29%2Ax-2%2Ax%5E2%2B5.
Look at 7%2Ax%5E3%2Bhighlight_red%28+%28highlight_red%28+5+%29%29%2Ax+%29-2%2Ax%5E2%2B5.
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes 7%2Ax%5E3%2Bhighlight_green%28+5+%29%2Ax-2%2Ax%5E2%2B5.
Result: 7%2Ax%5E3%2B5%2Ax-2%2Ax%5E2%2B5

Universal Simplifier and Solver


Done!

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


YOUR ANSWER


  • Graphical form: %287x%5E2-3x%2B1%29-%289x%5E2-7x-3%29 simplifies to -2%2Ax%5E2%2B4%2Ax%2B4
  • Text form: (7x^2-3x+1)-(9x^2-7x-3) simplifies to -2*x^2+4*x+4
  • Cartoon (animation) form: simplify_cartoon%28+%287x%5E2-3x%2B1%29-%289x%5E2-7x-3%29+%29
    For tutors: simplify_cartoon( (7x^2-3x+1)-(9x^2-7x-3) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%287%2Ax%5E2-3%2Ax%2B1%29+%29-%289%2Ax%5E2-7%2Ax-3%29.
Remove unneeded parentheses around terms highlight_red%28+7%2Ax%5E2+%29,highlight_red%28+-3%2Ax+%29,highlight_red%28+1+%29
It becomes .
Look at 7%2Ax%5E2-3%2Ax%2B1-highlight_red%28+%289%2Ax%5E2-7%2Ax-3%29+%29.
Remove unneeded parentheses around terms highlight_red%28+-9%2Ax%5E2+%29,highlight_red%28+7%2Ax+%29,highlight_red%28+3+%29
It becomes .
Look at 7%2Ax%5E2-3%2Ax%2Bhighlight_red%28+1+%29-9%2Ax%5E2%2B7%2Ax%2Bhighlight_red%28+3+%29.
Added fractions or integers together
It becomes 7%2Ax%5E2-3%2Ax%2Bhighlight_green%28+4+%29-9%2Ax%5E2%2B7%2Ax.
Look at 7%2Ax%5E2-3%2Ax%2Bhighlight_red%28+4+%29-9%2Ax%5E2%2B7%2Ax.
Moved 4 to the right of expression
It becomes 7%2Ax%5E2-3%2Ax-9%2Ax%5E2%2B7%2Ax%2Bhighlight_green%28+4+%29.
Look at highlight_red%28+7%2Ax%5E2+%29-3%2Ax-highlight_red%28+9%2Ax%5E2+%29%2B7%2Ax%2B4.
Eliminated similar terms highlight_red%28+7%2Ax%5E2+%29,highlight_red%28+-9%2Ax%5E2+%29 replacing them with highlight_green%28+%287-9%29%2Ax%5E2+%29
It becomes highlight_green%28+%287-9%29%2Ax%5E2+%29-3%2Ax%2B7%2Ax%2B4.
Look at %287-9%29%2Ax%5E2-highlight_red%28+3%2Ax+%29%2Bhighlight_red%28+7%2Ax+%29%2B4.
Eliminated similar terms highlight_red%28+-3%2Ax+%29,highlight_red%28+7%2Ax+%29 replacing them with highlight_green%28+%28-3%2B7%29%2Ax+%29
It becomes %287-9%29%2Ax%5E2%2Bhighlight_green%28+%28-3%2B7%29%2Ax+%29%2B4.
Look at %28highlight_red%28+7+%29-highlight_red%28+9+%29%29%2Ax%5E2%2B%28-3%2B7%29%2Ax%2B4.
Added fractions or integers together
It becomes %28highlight_green%28+-2+%29%29%2Ax%5E2%2B%28-3%2B7%29%2Ax%2B4.
Look at %28-2%29%2Ax%5E2%2B%28-highlight_red%28+3+%29%2Bhighlight_red%28+7+%29%29%2Ax%2B4.
Added fractions or integers together
It becomes %28-2%29%2Ax%5E2%2B%28highlight_green%28+4+%29%29%2Ax%2B4.
Look at %28highlight_red%28+-2+%29%29%2Ax%5E2%2B%284%29%2Ax%2B4.
Removed extra sign in front of -2
It becomes %28-highlight_green%28+2+%29%29%2Ax%5E2%2B%284%29%2Ax%2B4.
Look at highlight_red%28+%28-highlight_red%28+2+%29%29%2Ax%5E2+%29%2B%284%29%2Ax%2B4.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes -highlight_green%28+2+%29%2Ax%5E2%2B%284%29%2Ax%2B4.
Look at -2%2Ax%5E2%2Bhighlight_red%28+%28highlight_red%28+4+%29%29%2Ax+%29%2B4.
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes -2%2Ax%5E2%2Bhighlight_green%28+4+%29%2Ax%2B4.
Result: -2%2Ax%5E2%2B4%2Ax%2B4

Universal Simplifier and Solver


Done!