All of the following expressions are equivalent to 12w + 6, except:
A)-1(12w - 6)
B) (3 + 6w)2
C)6(1 + 2w)
D) -1(-12w - 6)

Respuesta :

Hi ;)
All of the following expressions are equivalent to 12w + 6, except:
A) -1 (12w-6)
Because that is simplified to -12w+6.

Hope this helps u :)
Good luck !!

Equivalent expression are the expression which has the same result but the way of representation of both the expressions is different.

The equation [tex]-1(12w - 6)[/tex] is not equivalent to the given expression. Thus the option A is the correct option.

Given information-

The given expression in the problem is,

[tex]12w + 6[/tex]

The equation which is not equal to the above equation has to be find out.

What is equivalent expression?

Equivalent expression are the expression which has the same result but the way of representation of both the expressions is different.

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

[tex]-1(12w - 6)[/tex]

Solve it further,

[tex]-1(12w - 6)=-12w + 6)[/tex]

This expression is not equivalent to the given expression.

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

[tex](3 + 6w)2[/tex]

Solve it further,

[tex](3 + 6w)2=6+12w\\(3 + 6w)2=12w+6[/tex]

This expression is equivalent to the given expression.

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

[tex]6(1 + 2w)[/tex]

Solve it further,

[tex]6(1 + 2w)=6 + 12w)\\6(1 + 2w)=12w+6[/tex]

This expression is equivalent to the given expression.

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

[tex]-1(-12w - 6)[/tex]

Solve it further

[tex]-1(-12w - 6)= 12w + 6[/tex]

This expression is equivalent to the given expression.

Hence the equation [tex]-1(12w - 6)[/tex] is not equivalent to the given expression. Thus the option A is the correct option.

Learn more about the equivalent expression here;

https://brainly.com/question/10628562