Question

Expand the following (4/5d - 7e)2

Answer 1

Answer:
`(16d^2)/(25)+49e^2-(56de)/(5)`

Explanation:

Given

The expression is

`((4d)/(5)-7e)^2`

Use identity
`(a-b)^2=a^2+b^2-2ab`

Apply identity

`\Rightarrow \left( (4d)/(5)-7e\right)^2=\left( (4d)/(5)\right)^2+(7e)^2-2* \left( (4d)/(5)\right)(7e)\\\\\Rightarrow \left( (4d)/(5)-7e\right)^2=(16d^2)/(25)+49e^2-(56de)/(5)`