Question 171831
{{{(5z^2+5z+5)/(7z^2+7z+7)}}} Start with the given expression



{{{(5(z^2+z+1))/(7z^2+7z+7)}}} Factor out the GCF 5 from the numerator to get {{{5(z^2+z+1)}}}



{{{(5(z^2+z+1))/(7(z^2+z+1))}}} Factor out the GCF 7 from the denominator to get {{{7(z^2+z+1)}}}



{{{(5*highlight((z^2+z+1)))/(7*highlight((z^2+z+1)))}}} Highlight the common terms



{{{(5*cross((z^2+z+1)))/(7*cross((z^2+z+1)))}}} Cancel out the common terms



{{{5/7}}} Simplify



So {{{(5z^2+5z+5)/(7z^2+7z+7)}}} simplifies to {{{5/7}}}