((25z)/n-2xy)^2

 Esercizio

$\left(\frac{25z}{n}-2xy\right)^2$

 

Applicare la formula: $\left(a+b\right)^2$$=a^2+2ab+b^2$, dove $a=\frac{25z}{n}$, $b=-2xy$ e $a+b=\frac{25z}{n}-2xy$

$\left(\frac{25z}{n}\right)^2+\frac{-100zxy}{n}+\left(-2xy\right)^2$

 

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

$\left(\frac{25z}{n}\right)^2+\frac{-100zxy}{n}+x^2\left(-2y\right)^2$

 

Applicare la formula: $\left(\frac{a}{b}\right)^n$$=\frac{a^n}{b^n}$, dove $a=25z$, $b=n$ e $n=2$

$\frac{\left(25z\right)^2}{n^2}+\frac{-100zxy}{n}+x^2\left(-2y\right)^2$

 

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

$\frac{625z^2}{n^2}+\frac{-100zxy}{n}+x^2\left(-2y\right)^2$

$\frac{625z^2}{n^2}+\frac{-100zxy}{n}+x^2\left(-2y\right)^2$

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