Mathematics
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OpenStudy (anonymous):
ok im stuck on this one 1000+m^3
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OpenStudy (jdoe0001):
so, what are you supposed to do?
OpenStudy (anonymous):
factor it
OpenStudy (jdoe0001):
ok, recall that \(\bf a^3+b^3 = (a+b)(a^2-ab+b^2)\)
OpenStudy (jdoe0001):
now notice the 1000, does it look like the cube of something?
OpenStudy (anonymous):
yes isnt 1000 a and m^3 b
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OpenStudy (anonymous):
no it dose not look like a cube or anything
OpenStudy (jdoe0001):
well, that's was just an equation to factor about :/
OpenStudy (jdoe0001):
notice the 1000, does it look like the cube of some number?
OpenStudy (jdoe0001):
could be write 1000 as say \(\bf \square?^3\) ?
OpenStudy (anonymous):
i dont see a cube or anything for the 1000 do i have to find numbers that = to 1000
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OpenStudy (jdoe0001):
ok,, how much is 10 x 10 x 10?
OpenStudy (anonymous):
ok thats 1000 so i change the 1000 to 10
OpenStudy (jdoe0001):
\(\bf 1000+m^3 \implies 10^3+m^3\\
a^3+b^3 = (a+b)(a^2-ab+b^2)\)
OpenStudy (anonymous):
ok so it would be 10^3+m^3=(10+m) (10^2-2m+m^2)
OpenStudy (jdoe0001):
-ab that is
-(10)(m) \(\bf \ne\) -2
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OpenStudy (jdoe0001):
but otherwise, yes
OpenStudy (jdoe0001):
-(10)(m) \(\bf \ne \) -2m that is