Answer:
(2x +5y)(2x − 5y) = ![{4x^{2} - 25y^{2}](https://tex.z-dn.net/?f=%7B4x%5E%7B2%7D%20%20-%2025y%5E%7B2%7D)
Step-by-step explanation:
(2x +5y)(2x − 5y) is the given equation.
Now, the <u>ALGEBRAIC IDENTITY</u> states that:
![(a+ b)(a-b) = a^{2} - b^{2}](https://tex.z-dn.net/?f=%28a%2B%20b%29%28a-b%29%20%3D%20a%5E%7B2%7D%20%20-%20b%5E%7B2%7D)
Here, comparing a = 2x and b = 5y,
we get (2x +5y)(2x − 5y) = ![(2x)^{2} - (5y)^{2}](https://tex.z-dn.net/?f=%282x%29%5E%7B2%7D%20%20-%20%285y%29%5E%7B2%7D)
on further solving the right side, we get
(2x +5y)(2x − 5y) = ![{4x^{2} - 25y^{2}](https://tex.z-dn.net/?f=%7B4x%5E%7B2%7D%20%20-%2025y%5E%7B2%7D)
12+8y you have to do like terms and the distributive property of 2(y+1)
This is how y=x+7 and y=2x+1 would look like. I also included the table in case you need to graph it.
Answer:
they are in 225kilometers apart.
hope it helps.