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\left(\frac{2}{5}x^{2}\right)^{2}-4
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 2.
\left(\frac{2}{5}\right)^{2}\left(x^{2}\right)^{2}-4
Expand \left(\frac{2}{5}x^{2}\right)^{2}.
\left(\frac{2}{5}\right)^{2}x^{4}-4
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
\frac{4}{25}x^{4}-4
Calculate \frac{2}{5} to the power of 2 and get \frac{4}{25}.
\left(\frac{2}{5}x^{2}\right)^{2}-4
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 2.
\left(\frac{2}{5}\right)^{2}\left(x^{2}\right)^{2}-4
Expand \left(\frac{2}{5}x^{2}\right)^{2}.
\left(\frac{2}{5}\right)^{2}x^{4}-4
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
\frac{4}{25}x^{4}-4
Calculate \frac{2}{5} to the power of 2 and get \frac{4}{25}.