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ANEK [815]
3 years ago
15

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

Mathematics
1 answer:
Kay [80]3 years ago
7 0

Answer:

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

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}

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}

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