Answer :
Answer:
Option A and D are correct
8f + 4g and [tex]4 \cdot (2f+g)[/tex]
Step-by-step explanation:
The distributive property says that:
[tex]a\cdot (b+c) = a\cdot b+ a\cdot c[/tex]
Given the expression:
[tex]2 \cdot (4f+2g)[/tex]
Using distributive property;
[tex]2 \cdot 4f+ 2 \cdot 2g = 8f+4g[/tex]
⇒[tex]2 \cdot (4f+2g)[/tex] = 8f+4g ....[1]
Option A.
8f + 4g
which is equal to the given expression in [1]
Option B.
[tex]2f +(4+2g) = 2f+4+2g = 2f+2g+4[/tex]
which is not equal to given expression in [1]
Option C.
8f + 4g
which is not equal to the given expression in [1]
Option D.
[tex]4 \cdot (2f+g)[/tex]
Using distributive property we have;
[tex]8f+4g[/tex]
which is equal to the given expression in [1]
Therefore, 8f + 4g and [tex]4 \cdot (2f+g)[/tex] expressions are equivalent to 2(4f+2g)
Answer:
Option (a) and (d) are correct .
An equivalent expression to the given expression 2(4f + 2g) is 8f + 4g
and 4 (2f + g)
Step-by-step explanation:
Given: Expression 2(4f + 2g)
We have to choose an equivalent expression to the given expression 2(4f + 2g)
Consider the given expression 2(4f + 2g)
Apply Distributive property, [tex]\:a\left(b+c\right)=ab+ac[/tex]
We have,
a = 2, b = 4f and c = 2g
2(4f + 2g) = 8f + 4g
Now, take 4 common from each term, we have,
8f + 4f = 4 (2f + g)
Thus, an equivalent expression to the given expression 2(4f + 2g) is 8f + 4g and 4 (2f + g)
