Question

In comparing the expressions for two school populations (CD and C and D > 0), which of the following is the largest? A) (C + D) B) (2(C + D)) C) (2^2 + D^2) D) (-D)

Answer 1

To determine which expression is the largest among (C + D), (2(C + D)), (2^2 + D^2), and (-D), we need to compare them. (2(C + D)) is the largest expression.

Step-by-step explanation:

To determine which of the expressions is the largest, we need to compare them.

A) (C + D)

B) (2(C + D))

C) (2^2 + D^2)

D) (-D)

Let's compare each expression:

A) (C + D) is simply the sum of C and D. It is the smallest expression among the options.

B) (2(C + D)) is equal to 2 multiplied by (C + D). This expression is larger than (C + D) because it is equivalent to adding (C + D) to itself, which leads to a larger sum.

C) (2^2 + D^2) simplifies to 4 + D^2. This expression does not directly depend on the values of C and D, so we cannot compare it with the previous expressions.

D) (-D) is the negative of D. This expression is the largest among the options if D is a positive value.

Therefore, (2(C + D)) is the largest expression.