Question 168161

{{{2x^2+2ax+5x+5a}}} Start with the given expression



{{{(2x^2+2ax)+(5x+5a)}}} Group like terms



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



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



So {{{2x^2+2ax+5x+5a}}} factors to {{{(2x+5)(x+a)}}}