Question

PLZZ I NEED THIS FAST!
How can you write the expression (28 + 70) as a multiple of a sum of whole numbers with no common factor? OPTIONS
A. 1 × (28 + 70)B. 2 × (14 + 35)C. 7 × (4 + 10)D. 14 × (2 + 5)E. 28 × (1 + 5)AND I KNOW ITS NOT C SO....... PLZ HELP

Answer 1

So remember that GCFs are greatest common factors, or the greatest number and/or variable that divides 2 or more terms nicely (aka no decimals).

With this, you at least know that a factor of these two numbers is 7, which turns this expression to 7(4 + 10). However, what's inside the parentheses can still be factored out with a GCF of 2. So you can further factor the expression as 2 * 7(2 + 5), which can be simplified to 14(2 + 5), or D. Since 2 and 5 do not have GCFs greater than 1, that is your answer.

Answer 2

For those just looking for the answer: D

The answer is D- 14 × (2 + 5), as 14 x 2 is 28 and 14 x 5 is 70. 2 and 5 are prime numbers with no common factors, so they can't be further simplified.