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Replace ∗ with a monomial so that the expression can be rewritten as a square of a sum or a difference:
b
36–12x + ∗

Respuesta :

Answer:

x^2

Step-by-step explanation:

The formula we should use here is (a+b)^2=a^2+2ab+b^2

Using this we should first squared 36, getting us 6

Then divide -12x by 6, getting us -2x

Then we divide-2x by -1, getting us 2x

Lastly we divide 2x by 2 to get x

x is our original factors, but to fit in the equation, we need to square it

Polynomials are mathematical expressions involving variables raised with non-negative integers, coefficients and constants. The monomial that will make the expression as a square of a sum or a difference of trinomial is "x²".

What is a polynomial?

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

A monomial that will make the expression as a square of a sum or a difference of trinomial are:

(a-b)² = a² -2ab + b²

(6-x)² = 6² -2(6)(x) + x²

         = 36 - 12x + x²

Hence, the monomial that will make the expression as a square of a sum or a difference of trinomial is "x²".

Learn more about Polynomials:

https://brainly.com/question/27343162

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