Respuesta :

Einsteinhelp

Answer

B and E

Explanation

A) It's wrong because

[tex] - 6 \times (2x - 1) = - 12x + 6[/tex]

B) It's right because

[tex]6 \times (2x - 1) = 12x - 6[/tex]

C) It's wrong because

[tex]6x \times (2 - 1) = 6x \times 1 = 6x[/tex]

D) It's wrong because

[tex] - 6x \times (2x - 1) = - 12 {x}^{2} + 6[/tex]

E) It's right because

[tex] - 6 \times ( - 2x + 1) = 12x - 6[/tex]

F) It's wrong because

[tex]6 \times ( - 2x + 1) = - 12x + 6[/tex]

Equivalent expression are the expression in which the resultant value of the expression are same but the way of represent ion is different.The expression which are equivalent to the given expression are[tex]6(2x-1)[/tex]  and [tex]-6(-2x+1)[/tex]. Thus the option B and Option E are correct.

Given information-

The given expression in the problem is,

[tex]12x-6[/tex]

Equivalent expression

Equivalent expression are the expression in which the resultant value of the expression are same but the way of represent ion is different

Check all the option,

  • A) The given expression in the option A is,

[tex]-6(2x-1)[/tex]

Let [tex]f(x)[/tex] is the given expression. Thus,

[tex]f(x)=-6(2x-1)[/tex]

[tex]f(x)=-12x+6[/tex]

The result is not equal to the given expression. Thus option A is not correct.

  • B) The given expression in the option B is,

[tex]6(2x-1)[/tex]

Let [tex]f(x)[/tex] is the given expression. Thus,

[tex]f(x)=6(2x-1)[/tex]

[tex]f(x)=12x-6[/tex]

The result is equal to the given expression. Thus option B is correct.

  • C) The given expression in the option C is,

[tex]6x(2-1)[/tex]

Let [tex]f(x)[/tex] is the given expression. Thus,

[tex]f(x)=6x(2-1)[/tex]

[tex]f(x)=6x(1)[/tex]

[tex]f(x)=6x[/tex]

The result is not equal to the given expression. Thus option C is not correct.

  • D) The given expression in the option D is,

[tex]-6x(2x-1)[/tex]

Let [tex]f(x)[/tex] is the given expression. Thus,

[tex]f(x)=-6x(2x-1)[/tex]

[tex]f(x)=-12x^2+6[/tex]

The result is not equal to the given expression. Thus option D is not correct.

  • E) The given expression in the option E is,

[tex]-6(-2x+1)[/tex]

Let [tex]f(x)[/tex] is the given expression. Thus,

[tex]f(x)=-6(-2x+1)[/tex]

[tex]f(x)=12x-6[/tex]

The result is  equal to the given expression. Thus option E is correct.

  • F) The given expression in the option F is,

[tex]6(-2x+1)[/tex]

Let [tex]f(x)[/tex] is the given expression. Thus,

[tex]f(x)=6(-2x+1)[/tex]

[tex]f(x)=-12x+6[/tex]

The result is not equal to the given expression. Thus option F is not correct.

Thus the expression which are equivalent to the given expression are[tex]6(2x-1)[/tex]  and [tex]-6(-2x+1)[/tex]. Thus the option B and Option E are correct.

https://brainly.com/question/10628562

Otras preguntas