Answer: [tex]\dfrac{16d^2}{25}+49e^2-\dfrac{56de}{5}[/tex]
Step-by-step explanation:
Given
The expression is
[tex](\dfrac{4d}{5}-7e)^2[/tex]
Use identity [tex](a-b)^2=a^2+b^2-2ab[/tex]
Apply identity
[tex]\Rightarrow \left( \dfrac{4d}{5}-7e\right)^2=\left( \dfrac{4d}{5}\right)^2+(7e)^2-2\times \left( \dfrac{4d}{5}\right)(7e)\\\\\Rightarrow \left( \dfrac{4d}{5}-7e\right)^2=\dfrac{16d^2}{25}+49e^2-\dfrac{56de}{5}[/tex]
