Question 738351


{{{x^2-6x+5x-30}}} Start with the given expression



{{{(x^2-6x)+(5x-30)}}} Group the terms in two pairs



{{{x(x-6)+5(x-6)}}} Factor out the GCF {{{x}}} out of the first group. Factor out the GCF {{{5}}} out of the second group



{{{(x+5)(x-6)}}} Since we have the common term {{{x-6}}}, we can combine like terms



So {{{x^2-6x+5x-30}}} factors to {{{(x+5)(x-6)}}}



In other words, {{{x^2-6x+5x-30=(x+5)(x-6)}}}