Question 634152


{{{a^3-2a^2+5a-10}}} Start with the given expression



{{{(a^3-2a^2)+(5a-10)}}} Group the terms in two pairs



{{{a^2(a-2)+5(a-2)}}} Factor out the GCF {{{a^2}}} out of the first group. Factor out the GCF {{{5}}} out of the second group



{{{(a^2+5)(a-2)}}} Since we have the common term {{{a-2}}}, we can combine like terms



So {{{a^3-2a^2+5a-10}}} factors to {{{(a^2+5)(a-2)}}}



In other words, {{{a^3-2a^2+5a-10=(a^2+5)(a-2)}}}


<font color="red">--------------------------------------------------------------------------------------------------------------</font>
If you need more help, email me at <a href="mailto:jim_thompson5910@hotmail.com?Subject=I%20Need%20Algebra%20Help">jim_thompson5910@hotmail.com</a>


Also, please consider visiting my website: <a href="http://www.freewebs.com/jimthompson5910/home.html">http://www.freewebs.com/jimthompson5910/home.html</a> and making a donation. Thank you


Jim
<font color="red">--------------------------------------------------------------------------------------------------------------</font>