Mathematics
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OpenStudy (anonymous):
Simplify (3n - 2m)^2 = ?
I will give a medal!
Btw, I want an explanation, as to how to solve it, not a direct answer. ^_^ P.s. Thanks a ton!
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OpenStudy (anonymous):
@AravindG @baru
OpenStudy (baru):
you have to use the "distributive property of multiplication over addition"
for example
\[a(b+c+d)= ab+ac+ad\]
OpenStudy (baru):
here you have\[(3n-2m)(3n-2m)\]
OpenStudy (anonymous):
i only have an a and a b
OpenStudy (anonymous):
yes, its like ab x ab
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OpenStudy (anonymous):
i mean a-b x a-b :P
OpenStudy (baru):
treat the first (3n -2m) like you would have treated "a"
OpenStudy (anonymous):
... ?
OpenStudy (baru):
you get
(3n-2m)3n - (3n-2m)2m
OpenStudy (anonymous):
oh
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OpenStudy (anonymous):
so, 9n-6mn - 6nm-4m ?
OpenStudy (anonymous):
so, 9n - 12mn - 4m ?
OpenStudy (anonymous):
wait, its 9n^2 - 12mn - 4m^2 isnt it?
OpenStudy (baru):
very close...
but you have made a couple of errors
remember that \(n \times n =n^2\)
and negative number multiplied by a negative number is positive
OpenStudy (anonymous):
oh, so its 9n^2 + 12mn + 4m^2 ?
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OpenStudy (baru):
everythings right, but there a mistake in the signs
OpenStudy (anonymous):
??
OpenStudy (anonymous):
what do you mean?
OpenStudy (baru):
(3n-2m)3n - (3n-2m)2m
9n^2 -6mn - (6mn - 4m^2)
9n^2 -6mn -6mn +4m^2
9n^2 -12mn +4m^2
OpenStudy (anonymous):
oh, xD i see.
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OpenStudy (anonymous):
ok, thanks! ^_^
OpenStudy (baru):
no prob :)