Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Suppose that a classmate asked you why (2x + 112 is not (4x² + 1). What is your response to this classmate?
O A. An expression such as (2x + 1)2 is called the square of a monornial. The expression (2x + 1)2 is equal to (22• 2xX1. 1), thus it is not equivalent to
(4x2 +1)
B. The classmate is correct. An expression such as (2x + 1)2 is called the square of a binomial. The expression (2x + 1)2 is equal to (2)?(x} = (132, thus it is
equivalent to (4x + 1)
OC. An expression such as (2x + 1)2 is called the square of a binomial. The expression (2x + 1)2 is equal to (2x+ 1x2x + 1), thus it is not equivalent to
(4x + 1)
OD. An expression such as (2x + 1)2 is called the product of the sum and difference of two terms. The expression (2x + 1)2 is equal to (2x+ 1(2x - 1), thus it is
not equivalent to (4x2 + 1)
+

Sagot :

facundo3141592

The given expression is the square of a binomial, such that:

(2x + 1)^2 = 4x^2 + 4x + 1

Then the correct option is C.

Are the expressions equivalent?

We want to see if:

(2x + 1)^2

Is equivalent to (4x^2 + 1).

First, this is false, let's prove that.

We have the square of a binomial (2x + 1)^2. Remember the general formula:

(a + b)^2 = a^2 + 2ab + b^2

So if we apply this to our expression we get:

(2x + 1)^2 = (2x)^2 + 2*2x*1 + 1^2 = 4x^2 + 4x + 1

Then, the correct option is C.

If you want to learn more about binomials, you can read:

https://brainly.com/question/15246027

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.