Question

Which polynomial expression represents the area of the outermost square tile, shown below?

A square shaped tile with length x plus three is shown

Answer 1

@xapproachesinfinity

Answer 2

what is the area of a square, do you know?

Answer 3

so?!!

Answer 4

no

Answer 5

well you should know!!
\[\rm area~of~a~square=a^2\]
where a is the length of the square's side

Answer 6

sorry i forgot

Answer 7

so A=a^2 that is the area of the square
what think that you cannot forgot is the area of a square and rectangle

Answer 8

otherwise doing algebra without this is meaningless

Answer 9

that being said!
here we have a square that has a side if x+3
so the Area would be
\[\rm A=(x+3)^2\]

Answer 10

expand that

Answer 11

9

Answer 12

9? why?? we have x+3 where did you come up with 9

Answer 13

tell me you know how to expand the binomial
\[(a+b)^2\]

Answer 14

are u there

Answer 15

\[(a+b)^2=a^2+2ab+b^2\]

Answer 16

I'm here :) why ? lol

Answer 17

the same thing with \[(x+3)^2\]

Answer 18

ab^2

Answer 19

3^2 that's how

Answer 20

lol im confused

Answer 21

hmm no my friend
you have to expand the binomial
don't tell you are doing polynomial while you don't have any idea how to expand binomials?

Answer 22

i forgot how to do all of this i had to retake thisclass because i failed it

Answer 23

\[(a+b)^2=(a+b)(a+b)=a^2+ab+ba+b^2=a^2+2ab+b^2\]
this is how you expand the binomial

Answer 24

well you can't just go and do the problem without reviewing!!

Answer 25

what is the next step

Answer 26

do the same thing that i did with (a+b)^2
but now you have (x+3)^2
instead
so x instead of a and 3 instead of b

Answer 27

ok

Answer 28

ok show me you work

Answer 29

x^2 +6x

Answer 30

+6

Answer 31

am i correct

Answer 32

hello

Answer 33

@pooja195 @charlotte123

Answer 34

no!!

Answer 35

\[(x+3)^2=x^2+6x+9\]

Answer 36

ok so

Answer 37

x^2-6

Answer 38

x^2-6x+9

Answer 39

@xo_kansasprincess_xo

Answer 40

@xapproachesinfinity

Answer 41

ughh forget it

Answer 42

i just gave you the ANSWER