Question

Which binomial is equivalent to (6x + 5y)(6x − 5y)?

A)
12x2 − 25y2


B)
12x2 − 10y2


C)
36x2 − 25y2


D)
36x2 + y2

Answer 1

Answer:

$\large\boxed{C)\ 36x^2-25y^2}$

Step-by-step explanation:

$\text{Use}\ (a+b)(a-b)=a^2-b^2\\\\(6x+5y)(6x-5y)=(6x)^2-(5y)^2\qquad\text{use}\ (ab)^n=a^nb^n\\\\=6^2x^2-5^5y^2=36x^2-25y^2$

Answer 2

The binomial equivalent to (6x + 5y)(6x − 5y) is 36x²-25y².

Given expression is:

(6x + 5y)(6x − 5y)

What is a binomial?

Binomial is an algebraic expression of the sum or the difference of two terms.

As we know that (a+b) (a-b) =a²-b²

So given binomial (6x + 5y)(6x − 5y) will be reduced the same way.

i.e (6x + 5y)(6x − 5y)

=(6x)² - (5y)²

=36x²-25y²

Therefore, the binomial equivalent to (6x + 5y)(6x − 5y) is 36x²-25y².

To get more about the binomial visit:

https://brainly.com/question/13800206