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

answer.

a.   ( c + d )² = 9

step by step explanation

lets say c equals 2 and d equals 1 then you replace c with 2 and d with 1 you get this for the expressions

a. ( 2 + 1 )² = 9

step 1

work inside parentheses

↓ ( 2 + 1 )² ↓

( 2 + 1 )² = (3)²

step 2

calculate exponents

↓ 3² ↓

3 × 3 = 9

b. 2( 2 + 1 ) = 6

step 1

2( 2 + 1 ) work inside the parentheses so you would get 2( 3 )

step 2

multiply 2 × 3 = 6

c. 2² + 1² = 5

step 1

calculate exponets

2² = 4

1² = 1

step 2

rewrite expression and solve

4 + 1 = 5

d. 2² - 1² = 3

step 1

calculate exponets

2²→ 4

1²→ 1

step 2

rewrite and solve expression

4 - 1 = 3