Connect with a global community of knowledgeable individuals on IDNLearn.com. Our platform provides detailed and accurate responses from experts, helping you navigate any topic with confidence.
Sagot :
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)
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. IDNLearn.com is your source for precise answers. Thank you for visiting, and we look forward to helping you again soon.
