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OpenStudy (anonymous):
[(x-3)+y]^2 help!!!
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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
\[(x-3)^2+2(x-3)y+y^2\]
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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
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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
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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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