SOLUTION: simplify the expression -2(4y^2+3z^3+5)+3(2y^2-5z^3+3).

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Question 632405: simplify the expression -2(4y^2+3z^3+5)+3(2y^2-5z^3+3).
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YOUR ANSWER


  • Graphical form: simplifies to
  • Text form: -2*(4y^2+3z^3+5)+3*(2y^2-5z^3+3) simplifies to -2*y^2-21*z^3-1
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( -2*(4y^2+3z^3+5)+3*(2y^2-5z^3+3) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at .
Expanded term -2 by using associative property on %284%2Ay%5E2%2B3%2Az%5E3%2B5%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Moved -10 to the right of expression
It becomes .

Look at .
Expanded term 3 by using associative property on %282%2Ay%5E2-5%2Az%5E3%2B3%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -1
It becomes .

Look at .
Eliminated similar terms highlight_red%28+-8%2Ay%5E2+%29,highlight_red%28+6%2Ay%5E2+%29 replacing them with highlight_green%28+%28-8%2B6%29%2Ay%5E2+%29
It becomes .

Look at .
Eliminated similar terms highlight_red%28+-6%2Az%5E3+%29,highlight_red%28+-15%2Az%5E3+%29 replacing them with highlight_green%28+%28-6-15%29%2Az%5E3+%29
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -2
It becomes .

Look at .
Removed extra sign in front of -21
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+21+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!

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