(10s^4+(-5fg^2)/(3^(1/2)))^2

 Esercizio

$\left(10s^4-\frac{5fg^2}{\sqrt{3}}\right)^2$

 

Applicare la formula: $\left(a+b\right)^2$$=a^2+2ab+b^2$, dove $a=10s^4$, $b=\frac{-5fg^2}{\sqrt{3}}$ e $a+b=10s^4+\frac{-5fg^2}{\sqrt{3}}$

$\left(10s^4\right)^2+\frac{-100fg^2s^4}{\sqrt{3}}+\left(\frac{-5fg^2}{\sqrt{3}}\right)^2$

 

Applicare la formula: $\left(ab\right)^n$$=a^nb^n$

$100s^{8}+\frac{-100fg^2s^4}{\sqrt{3}}+\left(\frac{-5fg^2}{\sqrt{3}}\right)^2$

 

Applicare la formula: $\left(\frac{a}{b}\right)^n$$=\frac{a^n}{b^n}$, dove $a=-5fg^2$, $b=\sqrt{3}$ e $n=2$

$100s^{8}+\frac{-100fg^2s^4}{\sqrt{3}}+\frac{\left(-5fg^2\right)^2}{3}$

 

Applicare la formula: $\left(ab\right)^n$$=a^nb^n$

$100s^{8}+\frac{-100fg^2s^4}{\sqrt{3}}+\frac{f^2\left(-5g^2\right)^2}{3}$

$100s^{8}+\frac{-100fg^2s^4}{\sqrt{3}}+\frac{f^2\left(-5g^2\right)^2}{3}$

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