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C.

if you multiply the 4 on each numbers inside of the parentheses then you’ll get ‘20c-8d’

The expression [tex]\rm 20c - 8d[/tex] is equivalent to the [tex]\rm 4(5c - 2d)[/tex] and it can be determined by using factorization.

Given that,

Expression; [tex]\rm 20c - 8d[/tex]

We have to determine

The equivalent expression to the given expression.

According to the question,

To determine the equivalent relation calculation must be done in a single unit following all the steps given below.

Expression; [tex]\rm 20c - 8d[/tex]

From the expression take out the common factor and rewrite the expression.

[tex]= \rm 20c-8d\\\\= 4 \times 5 \times c - 2\times 4 \times d\\\\= 4(5\times c - 2 \times d)\\\\= 4(5c-2d)[/tex]

Hence, The expression [tex]\rm 20c - 8d[/tex] is equivalent to the [tex]\rm 4(5c - 2d)[/tex].

To know more about Expression click the link given below.

https://brainly.com/question/18170381