Your answer is a start, but it's not complete. Use the difference of cubes formula to simplify more.
z^4-64z
= z(z^3 - 64)
= z(z^3 - 4^3)
= z(z - 4)(z^2 + 4z + 16)
2007-06-10 10:28:14
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answer #1
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answered by Mathematica 7
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Hi
= z^4-64z
= z(z^3-64)
= z(z-4)(z^2+4z+16)
and the answer is
z(z-4)(z^2+4z+16) since it couldn't be factored anymore
2007-06-10 17:26:24
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answer #2
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answered by Croasis 3
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No but here is how to do it
z^4-64z = z(z^3-64) = z(z-4)(z^2+4z+16)
2007-06-14 17:13:49
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answer #3
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answered by I ♥ Big Bang! 2
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No. z^3-64 can be further factored as it is the difference between two cubes.
(a^3-b^3) = (a-b)(a^2+ab+b^2)
In your case a = z and b= 4
So (z^3-64) = (z-4)(z^2 + 4z + 16)
2007-06-10 17:38:23
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answer #4
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answered by ironduke8159 7
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64 = 8*8 = 2^6
so factoring z we get
z(z^3 - 2^6)
let a=2^2
leaving you with z(z^3-a^3)
so solve for the cubic expression and substitute for a
Good luck!
2007-06-10 17:25:25
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answer #5
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answered by alrivera_1 4
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z^4-64z
z(z^3-64)
z(z-4)(z^2+4z+16)
2007-06-10 17:26:56
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answer #6
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answered by Dave aka Spider Monkey 7
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