To find the common factor of 8a^2b^4c^2, 12a^4bc^4, and 20a^3b^4, we need to identify the highest power of each variable that appears in all three expressions.

First, let's look at the variable "a". The highest power of "a" that appears in all three expressions is "a^2" in 8a^2b^4c^2 and "a^4" in 12a^4bc^4. Since "a^2" is the lower power, we take "a^2" as the common factor.

Next, let's consider the variable "b". The highest power of "b" that appears in all three expressions is "b^4" in 8a^2b^4c^2 and 12a^4bc^4. Therefore, "b^4" is the common factor for "b".

Lastly, let's examine the variable "c". The highest power of "c" that appears in all three expressions is "c^2" in 8a^2b^4c^2 and "c^4" in 12a^4bc^4. Thus, "c^2" is the common factor for "c".

Putting it all together, the common factor of 8a^2b^4c^2, 12a^4bc^4, and 20a^3b^4 is "a^2b^4c^2".

Question

To find the common factor of 8a^2b^4c^2, 12a^4bc^4, and 20a^3b^4, we need to identify the highest power of each variable that appears in all three expressions.

First, let's look at the variable "a". The highest power of "a" that appears in all three expressions is "a^2" in 8a^2b^4c^2 and "a^4" in 12a^4bc^4. Since "a^2" is the lower power, we take "a^2" as the common factor.

Next, let's consider the variable "b". The highest power of "b" that appears in all three expressions is "b^4" in 8a^2b^4c^2 and 12a^4bc^4. Therefore, "b^4" is the common factor for "b".

Lastly, let's examine the variable "c". The highest power of "c" that appears in all three expressions is "c^2" in 8a^2b^4c^2 and "c^4" in 12a^4bc^4. Thus, "c^2" is the common factor for "c".

Putting it all together, the common factor of 8a^2b^4c^2, 12a^4bc^4, and 20a^3b^4 is "a^2b^4c^2".

Knowee AI · Accepted Answer

To find the common factor of 8a^2b^4c^2, 12a^4bc^4, and 20a^3b^4, we need to identify the highest power of each variable that appears in all three expressions.

First, let's look at the variable "a". The highest power of "a" that appears in all three expressions is "a^2" in 8a^2b^4c^2 and "a^4" in 12a^4bc^4. Since "a^2" is the lower power, we take "a^2" as the common factor.

Next, let's consider the variable "b". The highest power of "b" that appears in all three expressions is "b^4" in 8a^2b^4c^2 and 12a^4bc^4. Therefore, "b^4" is the common factor for "b".

Lastly, let's examine the variable "c". The highest power of "c" that appears in all three expressions is "c^2" in 8a^2b^4c^2 and "c^4" in 12a^4bc^4. Thus, "c^2" is the common factor for "c".

Putting it all together, the common factor of 8a^2b^4c^2, 12a^4bc^4, and 20a^3b^4 is "a^2b^4c^2".

The common factor of 8a2b4c2, 12a4bc4 and 20a3b4 is

Question

Solution

Similar Questions

Upgrade your grade with Knowee