Question

What expression is equivalent to 16 + 2 ⋅ 36?

Answer 1

to figure this one out we need to simplify the expression

16x²-36  start by taking out the greatest factor of 16 and 36 which is 4

4(4x²-9) then since this is the difference of squares (meaning both 4 and 9 are squares and it is subtraction) this one is easy, just square the parenthasis and seperate them  to get

4(2x+3)(2x-3)

I hope I've helped!

Answer 2

The expression $\rm 16x^2-36$  is equivalent to 4(2x+3)(2x-3).

It is given that the expression $\rm 16x^2-36$

It is required to simplify this expression.

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have an expression:

$=\rm 16x^2-36$  

As we can see in the above expression we can take out 4 because 4 is the common factor of 16 and 36.

$=\rm 4(4x^2-9)$   or we can write it as:

$\rm = 4((2x)^2-3^2)$

We know that the:

$\rm (a^2-b^2) = (a+b)(a-b)$

By using the above formula, we get:

$\rm = 4(2x+3)(2x-3)$

Thus, the expression $\rm 16x^2-36$  is equivalent to 4(2x+3)(2x-3).

Learn more about Polynomial here:

brainly.com/question/17822016