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OpenStudy (anonymous):
factor completely z^3-16
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hartnn (hartnn):
are u sure its z^3-16 ?
isn't it x^4-16 or z^2-16 ?
OpenStudy (anonymous):
yeah
OpenStudy (anonymous):
oh no it says z^3-16z
hartnn (hartnn):
this makes it very easy!
z^3-16z
factor out the 'z' , what do u get ?
OpenStudy (anonymous):
(z2-4) (z+4z) ?
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hartnn (hartnn):
no...how u got that ?
and take one step at a time, factoring out z from z^3-16z will give z (z^2-16)
got this? now can u factor z^2-16 ?
OpenStudy (anonymous):
no but i need to factor it out so i get a 2 binomials that when you multiply them equals z^3-16z
hartnn (hartnn):
i got the question, i asked u whether u got how,
z^3-16z=z (z^2-16)
hartnn (hartnn):
\(\large z^2-16x = z^2\times z-16 \times z= z \times (z^2-16)\)
yes?
OpenStudy (anonymous):
like for example i also had w^4-81 and the correct answer for that was (w^2-9) (w^2+9)
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hartnn (hartnn):
yes, thats correct, but you first need to get the form \(\Large a^2-b^2\)
to write it as \(\huge (a+b)(a-b)\)
hartnn (hartnn):
and z^2-16 is in that form, right ? (16=4^2)
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