Question

(2a-5c)(2a+5c) (Выполните действия)

Answer 1

По формуле а ²-b ²=(a-b)(a+b)
(2a-5c)(2a+5c)=4a²-25c ²

Answer 2

Simplifying the Expression (2a-5c)(2a+5c)

To simplify the expression (2a-5c)(2a+5c), we can use the distributive property. The distributive property states that for any real numbers a, b, and c, the product of a sum and a difference is equal to the difference of the products.

In this case, we have (2a-5c)(2a+5c). Using the distributive property, we can expand this expression as follows:

(2a-5c)(2a+5c) = (2a)(2a) + (2a)(5c) + (-5c)(2a) + (-5c)(5c)

Simplifying further, we have:

= 4a^2 + 10ac - 10ac - 25c^2

Notice that the middle terms, 10ac and -10ac, cancel each other out. Therefore, the simplified expression is:

= 4a^2 - 25c^2

So, the simplified form of (2a-5c)(2a+5c) is 4a^2 - 25c^2.

I hope this helps! Let me know if you have any further questions.