Solve left(1+x^right)^2{left(x^2-2/xright)}^5

{ \left( 1+ { x }^{ } \right) }^{ 2 } { \left( { x }^{ 2 } - \frac{ 2 }{ x } \right) }^{ 5 }

Evaluate

\left(x+1\right)^{2}\times \left(\frac{x^{3}-2}{x}\right)^{5}

Expand

x^{12}+2x^{11}+x^{10}-10x^{9}-20x^{8}-10x^{7}+40x^{6}+80x^{5}+40x^{4}-80x^{3}-160x^{2}-80x+80+\frac{160}{x}+\frac{80}{x^{2}}-\frac{32}{x^{3}}-\frac{64}{x^{4}}-\frac{32}{x^{5}}

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{ \left( 1+ { x }^{ } \right) }^{ 2 } { \left( { x }^{ 2 } - \frac{ 2 }{ x } \right) }^{ 5 }

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How do you simplify \displaystyle{\left({x}+{3}\right)}^{{\frac{{1}}{{3}}}}-{\left({x}+{3}\right)}^{{\frac{{4}}{{3}}}} ?

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\displaystyle-{\left({x}+{3}\right)}^{{\frac{{1}}{{3}}}}\cdot{\left({x}+{2}\right)} Explanation: You can simplify this expression by using \displaystyle{\left({x}+{3}\right)}^{{\frac{{1}}{{3}}}} ...

How do you long divide \displaystyle\frac{{{2}{x}^{{2}}-{7}{x}+{9}}}{{{2}{x}-{3}}} ?

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\displaystyle{x}-{2} remainder \displaystyle{3} Explanation: Given: \displaystyle\frac{{{2}{x}^{{2}}-{7}{x}+{9}}}{{{2}{x}-{3}}} We can see that the denominator \displaystyle{\left({2}{x}-{3}\right)} ...

How do you integrate \displaystyle\frac{{{x}^{{2}}+{2}{x}-{1}}}{{{x}^{{3}}-{x}}} ?

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\displaystyle\int\frac{{{x}^{{2}}+{2}{x}-{1}}}{{{x}^{{3}}-{x}}}{\left.{d}{x}\right.}={\ln{{x}}}-{\ln{{\left({x}+{1}\right)}}}+{\ln{{\left({x}-{1}\right)}}}+{c} Explanation: As \displaystyle\frac{{{x}^{{2}}+{2}{x}-{1}}}{{{x}^{{3}}-{x}}}=\frac{{{x}^{{2}}+{2}{x}-{1}}}{{{x}{\left({x}+{1}\right)}{\left({x}-{1}\right)}}} ...

How do you express \displaystyle\frac{{{x}^{{2}}+{x}}}{{{\left({x}+{2}\right)}{\left({x}-{1}\right)}^{{2}}}} in partial fractions?

https://socratic.org/questions/how-do-you-express-x-2-x-x-2-x-1-2-in-partial-fractions

The answer is \displaystyle=\frac{{\frac{{2}}{{9}}}}{{{x}+{2}}}+\frac{{\frac{{7}}{{9}}}}{{{x}-{1}}}+\frac{{\frac{{2}}{{3}}}}{{\left({x}-{1}\right)}^{{2}}} Explanation: Let's do the decomposition ...

Find the coefficient of \displaystyle{x} in the expansion of \displaystyle{\left({1}+{x}^{{2}}\right)}{\left(\frac{{x}}{{2}}-\frac{{4}}{{x}}\right)}^{{6}} . Can Anyone pls solve step by step ...

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\displaystyle{0} Explanation: Given: \displaystyle{\left({1}+{x}^{{2}}\right)}{\left(\frac{{x}}{{2}}-\frac{{4}}{{x}}\right)}^{{6}} At first sight it might look like you will get a mixture ...

How do you evaluate the limit \displaystyle\frac{{{x}^{{2}}-{3}{x}+{2}}}{{{x}^{{2}}-{4}}} as x approaches \displaystyle-{2} ?

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The limit does not exist. Explanation: As \displaystyle{x}\rightarrow-{2} , the numerator goes to \displaystyle{12} and the denominator goes to \displaystyle{0} . The limit does not ...

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