Question 203948
please help me FACTOR this EXPRESSION....
<pre><font size = 4 color = "indigo"><b>
{{{(x+1)^3-27}}}

Write {{{27}}} as {{{3^3}}}

{{{(x+1)^3-3^3}}}

Use the factoring rule:  {{{A^3-B^3 = (A-B)(A^2+AB+B^2)}}}

where {{{A=(x+1)}}}, {{{B=3}}}

{{{((x+1)-3)((x+1)^2+(x+1)(3)+(3)^2)}}}

{{{(x+1-3)((x+1)(x+1)+3(x+1)+9)}}}

{{{(x-2)((x^2+x+x+1)+3x+3+9)}}}

{{{(x-2)((x^2+2x+1)+3x+12)}}}

{{{(x-2)(x^2+2x+1+3x+12)}}}

{{{(x-2)(x^2+5x+13)}}}

Edwin</pre>