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Mathematics 15 Online
OpenStudy (anonymous):

[(x-3)+y]^2 help!!!

OpenStudy (anonymous):

(x-3)² +2*(x-3)*y +y²= x²-6x+9+2*(x-3)*y +y²

OpenStudy (ybarrap):

= 9-6 x-6 y+x^2+2 x y+y^2

OpenStudy (ybarrap):

(-3+x+y)^2 = (-3+x+y) (-3+x+y) = -3 (-3+x+y)+x (-3+x+y)+y (-3+x+y) = -3 (-3+x+y)+x (-3)+x x+x y+y (-3)+y x+y y = -3 (-3+x+y)-3 x+x x+x y-3 y+x y+y y = -3 (-3+x+y)-3 x+x x+2 x y-3 y+y y = -3 (-3)-3 x-3 y-3 x+x x+2 x y-3 y+y y = -3 (-3)+2 (-3) x+2 (-3) y+x x+2 x y+y y = -3 (-3)-3 2 x-3 2 y+x x+2 x y+y y = (-3)^(1+1)-3 2 x-3 2 y+x^(1+1)+2 x y+y^(1+1) = 9-3 2 x-3 2 y+x^2+2 x y+y^2 = 9-6 x-6 y+x^2+2 x y+y^2

myininaya (myininaya):

\[[(x-3)^2+y]^2=((x-3)^2)^2+2(x-3)^2(y)+y^2\]

OpenStudy (anonymous):

wow. you could start with \[(a+b)^2=a^2+2ab+b^2\] and put \[a=(x-3),b=y\] so get as a first step \[(x-3)^2+2(x-3)y+y^2\]

myininaya (myininaya):

lol

OpenStudy (anonymous):

might make life easier. then oh hi!

OpenStudy (anonymous):

it's all yours

myininaya (myininaya):

oops i misread too

OpenStudy (anonymous):

oh so i will finish it

myininaya (myininaya):

oh well what i said wasn't false

OpenStudy (anonymous):

thank u all

myininaya (myininaya):

looks good satellite

OpenStudy (anonymous):

dont need the 6xy its 2xy

myininaya (myininaya):

except coeffieicient of xy is 2

OpenStudy (anonymous):

thanks. no one wants to square three terms at one time and do nine multiplications. at least i don't

OpenStudy (anonymous):

\[x^2-6x+9+2xy-6y+y^2\]

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