SOLUTION: Multiply and simplify: (x^2 - 4x + 3/4x + 4) * (x + 1/x^2 + 2x - 3)

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Question 388150: Multiply and simplify:
(x^2 - 4x + 3/4x + 4) * (x + 1/x^2 + 2x - 3)
Answer by Jk22(389)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: Add, Subtract and Multiply Polynomials and Simplify
Your Result:


YOUR ANSWER


  • Graphical form: simplifies to
  • Text form: (x^2-4x+3/4*x+4)*(x+1/x^2+2*x-3) simplifies to x^(3)*3-51/4*x^2-13/4/x+87/4*x+4/x^2-11
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (x^2-4x+3/4*x+4)*(x+1/x^2+2*x-3) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

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Eliminated similar terms highlight_red%28+-4%2Ax+%29,highlight_red%28+3%2F4%2Ax+%29 replacing them with highlight_green%28+%28-4%2B3%2A1%2F4%29%2Ax+%29
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Multiplied numerator integers
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Added fractions or integers together
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Added fractions or integers together
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Remove unneeded parentheses around factor highlight_red%28+13+%29,highlight_red%28+1%2F4+%29
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Remove unneeded parentheses around factor highlight_red%28+3+%29
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Expanded term %283%2Ax%2B1%2Fx%5E2-3%29 by using associative property on %28x%5E2-13%2F4%2Ax%2B4%29
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Expanded term x%5E2 by using associative property on %283%2Ax%2B1%2Fx%5E2-3%29
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Remove extraneous '1' from product highlight_red%28+1+%29
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Reduce similar several occurrences of highlight_red%28+x%5E2+%29 to highlight_green%28+x%5E%281%2B2%29+%29
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Added fractions or integers together
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Added fractions or integers together
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Removing power highlight_red%28+x+%29 to degree of highlight_green%28+%280%29+%29
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Moved 1 to the right of expression
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Expanded term -13%2F4%2Ax by using associative property on %283%2Ax%2B1%2Fx%5E2-3%29
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Multiplied numerator integers
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Reduce similar several occurrences of highlight_red%28+x+%29 to highlight_green%28+x%5E2+%29
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Reduce similar several occurrences of highlight_red%28+x+%29 to highlight_green%28+x%5E%281-2%29+%29
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Added fractions or integers together
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Removed extra sign in front of -1
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Eliminated similar terms highlight_red%28+-x%5E2%2A3+%29,highlight_red%28+-39%2F4%2Ax%5E2+%29 replacing them with highlight_green%28+%28-3-39%2A1%2F4%29%2Ax%5E2+%29
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Multiplied numerator integers
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Added fractions or integers together
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Remove unneeded parentheses around factor highlight_red%28+51+%29,highlight_red%28+1%2F4+%29
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Negative power changes multiplication to division
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Removing power of one highlight_red%28+1+%29
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Expanded term 4 by using associative property on %283%2Ax%2B1%2Fx%5E2-3%29
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Multiplied numerator integers
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Multiplied numerator integers
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Added fractions or integers together
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Removed extra sign in front of -11
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Eliminated similar terms highlight_red%28+39%2F4%2Ax+%29,highlight_red%28+12%2Ax+%29 replacing them with highlight_green%28+%2839%2A1%2F4%2B12%29%2Ax+%29
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Multiplied numerator integers
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Added fractions or integers together
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Remove unneeded parentheses around factor highlight_red%28+87+%29,highlight_red%28+1%2F4+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!
x^(3)*3-51/4*x^2-13/4/x+87/4*x+4/x^2-11
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