Can someone guide me through this question
Suppose C and D represent two different school populations where C > D and C and D must be greater than 0. Which of the following expressions is the largest? Explain why. Show all work necessary.
A. (C + D)2
B. 2(C + D)
C. C2 + D2
D. C2 − D2
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
@Vocaloid im having a bit of trouble understanding the question
C and D both represent positive numbers (it's not specified, so they can be anything) such that C is bigger than D
it wants you to figure out which of the four answer choices represents the biggest number
Not the answer you are looking for? Search for more explanations.
good, we can combine that together to get
C^2 + 2CD + D^2
so we know right off the bat that A is bigger than C and D, with me so far?
yes i am
now we compare A and B
A is C^2 + 2CD + D^2
B is 2C + 2D after we apply the distributive property
intuitively, we can guess that A will probably be bigger than B, but we can be sure by testing the most extreme case where C = 2 and D = 1
A = 2^2 + 2(2)(1) + (1)^2 = 4 + 4 + 1 = 9
B = 2(1 + 2) = 6
so even when C and D are at their minimum, A is still bigger than B. as C and D grow larger, the difference between A and B will also grow larger (mainly because of the exponent 2 on C and D)
I'm not sure how detailed of an explanation they want, but hopefully that points you in the right direction
im sure it will be fine thanks for the help you where very thorough and helpful :D