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Expand. If necessary, combine like terms. (2x+5)(2x-5)

User Qxlab
by
3.9k points

2 Answers

6 votes

Answer:

4x^2 - 25

Explanation:

Applying the exponential rule, you receive:

(2x)^2 - (5)^2 = 2^2 * x^2 - 5^2

And simplifying, 2^2 * x^2 - 5^2 you receive:

User Mostafa Labib
by
4.7k points
2 votes

Answer:

4x^2 - 25

Explanation:

Here you can apply the difference of two squares formula, (a+b)(a-b) = a^2 - b^2, such that:

(2x+5)(2x-5) = (2x)^2 - (5)^2

Applying the exponential rule, you receive:

(2x)^2 - (5)^2 = 2^2 * x^2 - 5^2

And simplifying, 2^2 * x^2 - 5^2 you receive:

4x^2 - 25

As simple as that!

User Inox
by
4.4k points