\(\bullet\left( 3x^{2}-5x^{4}+3x\right) +\left( x^{4}-x^{2}+9x\right) =\)
\(=\left( -5+1\right) x^{4}+\left( 3-1\right) x^{2}+\left( 3+9\right) x=\)
\(=\boxed{-4x^{4}+2x^{2}+12x}\)
\(\bullet\) Siendo \(P\left( x\right) =x^{2}-3x+4\ \ ; \ \ Q\left( x\right) =3x^{2}+4x-2\) hallar:
\(\ \ P\left( x\right) +Q\left( x\right)\ \ y \ \ P\left( x\right) -Q\left( x\right)\\\)
\(\ \ \ \ P\left( x\right) +Q\left( x\right)=x^{2}-3x+4+3x^{2}+4x-2=\boxed{4x^{2}+x+2}\\\\\)
\(\ \ \ \ P\left( x\right) -Q\left( x\right)=x^{2}-3x+4-\left( 3x^{2}+4x-2\right)=\\\\\)
\(\ \ \ \ =x^{2}-3x+4-3x^{2}-4x+2=\boxed{-2x^{2}-7x+6}\\\\\)
\(\bullet\) Siendo \(P\left( x\right) =4x^{2}-3x^{5}-x^{3}+3\ \ ; \ \ Q\left( x\right) =-x^{3}+4-5x^{2}\) hallar:
\(\ \ P\left( x\right) +Q\left( x\right)\ \ y \ \ P\left( x\right) -Q\left( x\right)\\\)
\(\ \ \ \ P\left( x\right) +Q\left( x\right)=4x^{2}-3x^{5}-x^{3}+3-x^{3}+4-5x^{2}=\boxed{-3x^{5}-2x^{3}-x^{2}+7}\\\\\)
\(\ \ \ \ P\left( x\right) -Q\left( x\right)=4x^{2}-3x^{5}-x^{3}+3-\left( -x^{3}+4-5x^{2}\right) =\\\\\)
\(\ \ \ \ =4x^{2}-3x^{5}-x^{3}+3+x^{3}-4+5x^{2}=\boxed{-3x^{5}+9x^{2}-1}\\\\\)
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