Question

Select True or False. The expression 4x − 2(5x − 1) is equivalent to the expression 2 + 6x.

Answer 1

4x - 2(5x - 1)

4x - 10x - 2

-6x - 2

-2 - 6x is not equal to 2 + 6x.

Answer is false.

Answer 2

Answer: The given statement is FALSE.

Step-by-step explanation: We are given to check whether the following statement is True of False :

"The expression 4x − 2(5x − 1) is equivalent to the expression 2 + 6x".

We will be using the following distributive property :

`a(b+c)=ab+ac.`

We have

`4x-2(5x-1)\\\\=4x-10x+2\\\\=-6x+2\\\\=2-6x\\\\\\eq 2+6x.`

Therefore, expression 4x − 2(5x − 1) is NOT equivalent to the expression 2 + 6x.

Thus, the given statement is FALSE.