Express in simplest form: 36x−216x2−36 .(1 point)
Responses
36x−6
Start Fraction 36 over x minus 6 End Fraction
6x
Start Fraction 6 over x End Fraction
36x+6
Start Fraction 36 over x plus 6 End Fraction
20x
Start Fraction 36 over x minus 6 End Fraction.
The expression can be simplified to 20x.
To express the expression 36x - 216x^2 - 36 in its simplest form, we can simplify it by combining like terms and factoring out the greatest common factor.
Step 1: Combine like terms
In this expression, the only like terms are the terms with 'x'. So, let's group them together:
36x - 216x^2 - 36
Step 2: Factor out the greatest common factor
The greatest common factor of 36, -216, and -36 is 36. We can factor it out:
36(x - 6x^2 - 1)
So, the simplified form of the expression is 36(x - 6x^2 - 1), or when written without the parentheses, it can be expressed as 36x - 216x^2 - 36.