Respuesta :

The function f(x) = x²(3x − 1) − (3x − 1) can also be written equivalently as  

(3x - 1)(x + 1)(x - 1).

What is a mathematical expression and equation? What is equation modelling?

  • A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
  • Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
  • A mathematical equation is used to equate two expressions.

Given is the expression -

f(x) = x²(3x−1)−(3x−1)

We have -

x²(3x−1)−(3x−1)

Expanding the expression, we get -

(3x³ - x²) - (3x - 1)

3x³ - x² - 3x + 1

3x³ - x - x² - 2x + 1

3x³ - x² - 3x + 1

x²(3x−1)−(3x−1)

(3x - 1)(x² - 1)

(3x - 1)(x + 1)(x - 1)

Therefore, the equivalent expression of the expression

f(x) = x²(3x−1)−(3x−1) is (3x - 1)(x + 1)(x - 1).

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

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