Question 71871
1.)  {{{((9t^2+36t)/9)}}}  [Find the common number or term that divides each term evenly.  Each term can be divided evenly by 9] 
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{{{((9)(9t^2/9+36t/9))}}} [Set the common factor outside of the parentheis and divide each term by the common factor]

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{{{((9)(t^2+6t))}}} [Divide]
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{{{((9)(t^2+6t))}}} [Look for any other common numbers or terms that can divide each term evenly.  Each term can be divided evenly by "t"]

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{{{((9t)(t^2/t+6t/t))}}} [Set the common factor outside of the parentheis and divide each term by the common factor]
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{{{((9t)(t+6))}}} [Are there any more common numbers or factors? No]
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Check by multiplying the factors.  You should get the original expression:

{{{((9t)(t+6))}}}={{{((9t^2+36t))}}}  


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2.) {{{(14zx-18xz^2)}}}  [Find the common number or term that divides each term evenly.  Each term can be divided evenly by 2] 
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{{{( (2)(14zx/2-18xz^2/2))}}} [Set the common factor outside of the parentheis and divide each term by the common factor]
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{{{(2)(7zx-9xz^2))}}}  [Divide]
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{{{(2(7zx-9xz^2))}}}  [Look for any other common numbers or terms that can divide each term evenly.  Each term can be divided evenly by "z"]
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{{{((2z)(7zx/z-9xz^2/z))}}}  [Set the common factor outside of the parentheis (z) and divide each term by the common factor].
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{{{((2z)(7x-9xz))}}} [Divide]
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{{{((2z)(7x-9xz))}}}  [Look for any other common numbers or terms that can divide each term evenly.  Each term can be divided evenly by "x"]

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{{{((2zx)(7x/x-9xz/x))}}} [Set the common factor outside of the parentheis (x) and divide each term by the common factor].
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{{{((2zx)(7-9z))}}} [Divide]
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Check by multiplying the factors.  You should get the original expression:
{{{((2zx)(7-9z))}}}={{{(14zx-18xz^2)}}}