X^3 -16x^2 +64x
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x^3-8x^2. I know the answer is x-8 over x but how do they arrive at this?
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x^3-8x^2. I know the answer is x-8 over x but how do they arrive at this?
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(x^3 -16x^2 +64x)/(x^3-8x^2)
= x(x^2-16x+64)/x(x^2-8x)
= (x^2-16x+64)/(x^2-8)
= (x-8)^2/(x-8)*x
= (x-8) /x
= x(x^2-16x+64)/x(x^2-8x)
= (x^2-16x+64)/(x^2-8)
= (x-8)^2/(x-8)*x
= (x-8) /x
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x ( x^2 -16x +64)
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x^2 ( x-8)
x ( x-8) (x-8)
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x^2 (x-8)
cancel similar terms of numerator and denominator. (x-8)/ (x-8) for example, because it already denotes 1 ryt?
so x-8 is cancelled we have:
x( x-8)
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x^2
dividing monomials with exponents ( just subtract them, from the exponent of numerator to the exponent of denominator; if it results to positive, it's on the numerator, otherwise, put it on the denominator)
x- x^2 = x^-1 which is negative, so put it in the denominator
so the answer we'll have is:
(x-8)
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x
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x^2 ( x-8)
x ( x-8) (x-8)
---------------------
x^2 (x-8)
cancel similar terms of numerator and denominator. (x-8)/ (x-8) for example, because it already denotes 1 ryt?
so x-8 is cancelled we have:
x( x-8)
---------
x^2
dividing monomials with exponents ( just subtract them, from the exponent of numerator to the exponent of denominator; if it results to positive, it's on the numerator, otherwise, put it on the denominator)
x- x^2 = x^-1 which is negative, so put it in the denominator
so the answer we'll have is:
(x-8)
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x
-
Divide top and bottom by x
(x^2-16x+64)/[x(x-8)] =
(x-8)^2/[x(x-8)] =
(x-8)/x
(x^2-16x+64)/[x(x-8)] =
(x-8)^2/[x(x-8)] =
(x-8)/x