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Answered

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What expression is equivalent to 16 + 2 ⋅ 36?

Sagot :

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!

The expression [tex]\rm 16x^2-36[/tex]  is equivalent to 4(2x+3)(2x-3).

It is given that the expression [tex]\rm 16x^2-36[/tex]

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:

[tex]=\rm 16x^2-36[/tex]  

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

[tex]=\rm 4(4x^2-9)[/tex]   or we can write it as:

[tex]\rm = 4((2x)^2-3^2)[/tex]

We know that the:

[tex]\rm (a^2-b^2) = (a+b)(a-b)[/tex]

By using the above formula, we get:

[tex]\rm = 4(2x+3)(2x-3)[/tex]

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

Learn more about Polynomial here:

brainly.com/question/17822016

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