The equivalent expression to [tex]25x-10y[/tex] is A. [tex]5(5x-2y)[/tex].
Equivalent expressions are expressions that work the same even though they look different.
First, take the common factors from each term of the expression. The common factor may be a constant or a variable or both.
The common factor in two terms [tex]25x[/tex] and [tex]10y[/tex] of the given expression [tex]25x-10y[/tex] is [tex]5[/tex], which is a constant.
Thus,
[tex]25x-10y=5(5x-2y)[/tex]
Hence, A. [tex]5(5x-2y)[/tex]equivalent to [tex]25x-10y[/tex] .
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