The expressions equivalent to given expression are:
8f+4g
4(2f+g)
4f+4f+4g
Further explanation:
We will check each expression by simplifying if it is equivalent to the given expression or not.
Given expression is:
[tex]2(4f+2g) = 8f+4g[/tex]
Now we will compare each option with given expression
1. 8f+2g
This exprssion is not equivalent to given expression.
2. 2f(4+2g)
[tex]2f(4+2g) = 8f+4fg[/tex]
This expression is also not equivalent to given expression
3. 8f+4g
This expression is clearly equivakent to the given expression
4. 4(2f+g)
[tex]4(2f+g)= 8f+4g[/tex]
This expression is also equivalent to given expression
5. 4f+4f+4g
[tex]4f+4f+4g=8f+4g[/tex]
This expression is clearly equivalent to given expression
So,
The expressions equivalent to given expression are:
8f+4g
4(2f+g)
4f+4f+4g
Keywords: Equivalent expressions, polynomials
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