Question

Complete the following: (2x +5y)(2x − 5y)= ____ - _____

Answer 1

Answer:

(2x +5y)(2x − 5y)  = ${4x^{2} - 25y^{2}$

Step-by-step explanation:

(2x +5y)(2x − 5y) is the given equation.

Now, the ALGEBRAIC IDENTITY states that:

$(a+ b)(a-b) = a^{2} - b^{2}$

Here, comparing a = 2x  and b = 5y,

we get (2x +5y)(2x − 5y)  = $(2x)^{2} - (5y)^{2}$

on further solving the right side, we get

(2x +5y)(2x − 5y)  = ${4x^{2} - 25y^{2}$