((x+1)^(1/2)(2-x)^5)/((x+3)^7)

 Esercizio

$\frac{\sqrt{x+1}\:\cdot\left(2-x\right)^5}{\left(x+3\right)^7}$

 

Applicare la formula: $\left(a+b\right)^n$$=newton\left(\left(a+b\right)^n\right)$, dove $a=2$, $b=-x$, $a+b=2-x$ e $n=5$

$\frac{\sqrt{x+1}\left(32-80x+80\left(-x\right)^{2}+40\left(-x\right)^{3}+10\left(-x\right)^{4}+\left(-x\right)^{5}\right)}{\left(x+3\right)^7}$

 

Applicare la formula: $\left(-x\right)^n$$=x^n$, dove $n=2$

$\frac{\sqrt{x+1}\left(32-80x+80x^{2}+40\left(-x\right)^{3}+10\left(-x\right)^{4}+\left(-x\right)^{5}\right)}{\left(x+3\right)^7}$

 

Applicare la formula: $\left(-x\right)^n$$=x^n$, dove $n=4$

$\frac{\sqrt{x+1}\left(32-80x+80x^{2}+40\left(-x\right)^{3}+10x^{4}+\left(-x\right)^{5}\right)}{\left(x+3\right)^7}$

 

Applicare la formula: $\left(-x\right)^n$$=-x^n$, dove $n=3$

$\frac{\sqrt{x+1}\left(32-80x+80x^{2}-40x^{3}+10x^{4}+\left(-x\right)^{5}\right)}{\left(x+3\right)^7}$

 

Applicare la formula: $\left(-x\right)^n$$=-x^n$, dove $n=5$

$\frac{\sqrt{x+1}\left(32-80x+80x^{2}-40x^{3}+10x^{4}-x^{5}\right)}{\left(x+3\right)^7}$

$\frac{\sqrt{x+1}\left(32-80x+80x^{2}-40x^{3}+10x^{4}-x^{5}\right)}{\left(x+3\right)^7}$

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