Certainly! Let's simplify the given expression step-by-step.
We start with the expression:
[tex]\[ 2x(a - 2b) - y(a - 2b) \][/tex]
Step 1: Identify the common factor in both terms. We see that both terms contain the factor [tex]\((a - 2b)\)[/tex].
Step 2: Factor out the common factor [tex]\((a - 2b)\)[/tex] from both terms. This will simplify the expression by combining the like terms. Factoring out [tex]\((a - 2b)\)[/tex], we get:
[tex]\[
(a - 2b) [2x - y]
\][/tex]
Step 3: Write the expression in the simplified form. Thus, the simplified expression is:
[tex]\[
(2x - y) (a - 2b)
\][/tex]
So the simplified form of the expression [tex]\(2x(a - 2b) - y(a - 2b)\)[/tex] is:
[tex]\[
(2x - y) (a - 2b)
\][/tex]
This concludes the simplification of the given expression.
