Question 198889
{{{(6a^2b^2)/(2ab^2)}}} Start with the given expression.



{{{(2*3*a*a*b*b)/(2*a*b*b)}}} Expand. Remember, {{{6a^2b^2=2*3*a*a*b*b}}} and {{{2ab^2=2*a*b*b}}}



{{{(highlight(2)*3*highlight(a)*a*highlight(b)*highlight(b))/(highlight(2)*highlight(a)*highlight(b)*highlight(b))}}} Highlight the common terms.



{{{(cross(2)*3*cross(a)*a*cross(b)*cross(b))/(cross(2)*cross(a)*cross(b)*cross(b))}}} Cancel out the common terms.



{{{3a}}} Simplify.



So {{{(6a^2b^2)/(2ab^2)}}} simplifies to {{{3a}}}.



In other words, {{{(6a^2b^2)/(2ab^2)=3a}}} where {{{a<>0}}} or {{{b<>0}}}