Final Answer:
C) (49+2)(16g² +80−4) because The factored form (C) results from factoring out the common factor 8 and further factoring 8g+1 to achieve (49+2)(16g² +80−4).
Step-by-step explanation:
The factored form of 64g+8 is (49+2)(16g² +80−4) represented by option C. To obtain this, we can factor out the common factor of 8 from both terms, resulting in 8(8g+1).
Then, we further factor 8g+1 into (7+2)(8g+1), giving us the final factored form as (49+2)(16g² +80−4). Option C aligns with this factored expression.
In detail, the process involves factoring out the greatest common factor from both terms, which in this case is 8. The remaining expression, 8g+1, is factored using the distributive property, resulting in (7+2)(8g+1).
Combining these factors gives us (49+2)(16g² +80−4), the factored form of the given expression. Therefore, option C is the correct representation of 64g+8 in factored form.
Therefore, the correct answer is option C