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Mathematics 15 Online
OpenStudy (gahm8684):

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OpenStudy (gahm8684):

Which polynomial expression represents the area of the outermost square tile, shown below? x2 + 6x + 6 x2 + 9x + 6 x2 + 6x + 9 x2 − 6x + 9

OpenStudy (gahm8684):

OpenStudy (campbell_st):

well the side length is x + 3 so the area is \[A= (x + 3)(x +3)....or.....(x + 3)^2\] just distribute..... its one of the lase 2 choices

OpenStudy (gahm8684):

can you explain me more i dont get it

OpenStudy (campbell_st):

well if you split it you get A = x(x + 3) + 3(x + 3) so distribute a dn 3... then collect like terms

OpenStudy (asevilla5):

The area of a square is s 2 , where s is the length of a side. This means the area of the given tile is (x+3) 2 . Expand the binomial.

OpenStudy (gahm8684):

so it would be (x+3)^2

OpenStudy (campbell_st):

oops distribute the x and the 3, then collect like terms

OpenStudy (campbell_st):

thats correct.... but you need to distribute

OpenStudy (asevilla5):

@gahm8684 yes

OpenStudy (gahm8684):

what do you mean

OpenStudy (gahm8684):

wait whats the answer still confusing

OpenStudy (asevilla5):

distribute this (x+3)(x+3)

OpenStudy (gahm8684):

yea that would be (x+3)^2

OpenStudy (asevilla5):

I know but you need to distribute it to get the answer bud

OpenStudy (gahm8684):

what does that mean:c!?

OpenStudy (gahm8684):

oohhh the answer is x^2+6x+9

OpenStudy (campbell_st):

split the 1st brackets to A = x(x + 3) + 3(x + 3) distribute this

OpenStudy (asevilla5):

|dw:1407619749436:dw|

OpenStudy (asevilla5):

@gahm8684 correct

OpenStudy (gahm8684):

Thanks

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