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 :
[tex]a(b+c)=ab+ac.[/tex]
We have
[tex]4x-2(5x-1)\\\\=4x-10x+2\\\\=-6x+2\\\\=2-6x\\\\\neq 2+6x.[/tex]
Therefore, expression 4x − 2(5x − 1) is NOT equivalent to the expression 2 + 6x.
Thus, the given statement is FALSE.
