Question

A greenhouse that specializes in growing bell peppers is divided into sections. The number of plants in each section depends on the number of sprinklers in that section.

In a section with x sprinklers, there are 3x(x + 3) red bell pepper plants and (x + 4)2 yellow bell pepper plants.

Which simplified expression represents the total number of red and yellow bell pepper plants in a section with x sprinklers? @jim_thompson5910

Answer 1

I'm assuming (x + 4)2 is really (x + 4)^2, if so, then

Add up 3x(x + 3) and (x + 4)^2

Answer 2

3x(x + 3) + (x + 4)^2

3x(x + 3) + (x + 4)(x + 4)

What's the next step?

Answer 3

yes it is :)

Answer 4

how would you expand out (x + 4)(x + 4)

Answer 5

Foil ?

Answer 6

yep

Answer 7

what do you get

Answer 8

x * x = x^2
x *4 = 4x
4 * x = 4x
4 * 4 = 16

Answer 9

add all that up

Answer 10

x^2 + 4x + 4x + 16 = x^2 + 8x + 16

Answer 11

3x(x + 3) + (x + 4)(x + 4)

3x(x + 3) + x^2 + 8x + 16

what's next

Answer 12

ummmm

Answer 13

3x^2 is 3x(x + 3) right ?

Answer 14

3x(x + 3)

3x*x + 3x*3

what's after this

Answer 15

3x^2 + 9x ?

Answer 16

3x(x + 3) + x^2 + 8x + 16

3x^2 + 9x + x^2 + 8x + 16

then what?

Answer 17

combine like terms.... 4x^4 would be 3x^2 and x^2 right ?

Answer 18

correct

Answer 19

what about 9x and 8x

Answer 20

17x

Answer 21

put that all together to get ???

Answer 22

wait 4x^4 or 4x^2 ?

Answer 23

the x^2 terms stay the same

Answer 24

so 3x^2 + x^2 = 4x^2

Answer 25

the answer is B :)

Answer 26

thank you!

Answer 27

well I don't see the answer choices, so tell me what you got for the final answer

Answer 28

4x2 + 17x + 16

Answer 29

correct

Answer 30

sry had to step away for a bit, but just wanted to check your final answer

Answer 31

i tagged u in my other question....they r soooo confusing can u explain better ? lol