Question

3. Select all expressions that are equivalent to (2n + 6)(n + 3)a. 2(n? + 6n +9)b. 2n? + 6n + 18c. 2n2 + 12n + 18d. 12n + 18e. 2(n + 3)(n + 3)f. 2(n + 3)?

Answer 1

Select all expressions that are equivalent to (2n + 6)(n + 3)

we have

(2n + 6)(n + 3)

apply distributive property

2n^2+6n+6n+18

2n^2+12n+18

Verify each option

option A

2(n^2 + 6n +9)=2n^2+12n+18 -------> is ok

option B

is not correct

option C

is correct

option D

is not correct

option E

2(n + 3)(n + 3)= (2n + 6)(n + 3) ------> is correct

option F

2(n + 3)^2=2(n^2+6n+9)=2n^2+12n+18 -----> is ok

therefore

answers are

A, C, E, F