Answer:
(2x +5y)(2x − 5y) = [tex]{4x^{2} - 25y^{2}[/tex]
Step-by-step explanation:
(2x +5y)(2x − 5y) is the given equation.
Now, the ALGEBRAIC IDENTITY states that:
[tex](a+ b)(a-b) = a^{2} - b^{2}[/tex]
Here, comparing a = 2x and b = 5y,
we get (2x +5y)(2x − 5y) = [tex](2x)^{2} - (5y)^{2}[/tex]
on further solving the right side, we get
(2x +5y)(2x − 5y) = [tex]{4x^{2} - 25y^{2}[/tex]
