Respuesta :
To solve the problem we must know about Like terms and expressions.
What are Like terms?
Like terms are those terms that are having the same variables, also the variables are of the same order as well.
for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given to us
- [tex]3x(x-12x)+3x^2-2(x-2)^2[/tex]
To solve the algebraic expression,
[tex]3x(x-12x)+3x^2-2(x-2)^2[/tex]
Solve the square term,
[tex]=3x(x-12x)+3x^2-2(x^2+4-4x)\\\\=3x(-11x)+3x^2-2(x^2+4-4x)[/tex]
Doing multiplication to remove parentheses,
[tex]=-33x^2+3x^2-2x^2-8+8x[/tex]
Solving the like terms,
[tex]=-33x^2+3x^2-2x^2-8+8x[/tex]
[tex]=-33x^2+3x^2-2x^2-8+8x\\\\=-32x^2-8+8x\\\\=-32x^2+8x-8[/tex]
Thus, the following options were correct,
- We simplified the term [tex]-2(x-2)^2[/tex] by first squaring the expression (x-2).
- Thereafter we did multiplication to eliminate the parentheses
- Then combine like terms by adding and subtracting.
Learn more about Expression:
https://brainly.com/question/13947055
