Question

Which of the following is the square of a binomial

A. 36x^2 - 4y^2

B. d^2 + e^2

C. m^2 - mn + n^2

D. p^2 - 2pr + r^2

Answer 1

Answer:

Step-by-step explanation:

(a+b)² = a² + 2ab + b²

The only choice that has the form a² + 2ab + b² is D.

Answer 2

The square of a binomial is (p – r)². Then the correct option is D.

What is square binomial?

The square binomial is a polynomial of two-term only and with power of 2. For example, (x + 5)² where x and 5 are the two separate terms.

Let's check the option D, we have

⇒ p² – 2pr + r²

We know that the formula a² – 2ab + b² = (a – b)², then we have

⇒ p² – 2pr + r²

⇒ (p – r)²

Then the correct option is D.

More about the square binomial link is given below.

https://brainly.com/question/12249986

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