Question 257839


{{{((9y-18)/(6y+12))((3y+6)/(15y-30))}}} Start with the given expression.



{{{((9(y-2))/(6y+12))((3y+6)/(15y-30))}}} Factor {{{9y-18}}} to get {{{9(y-2)}}}.



{{{((9(y-2))/(6(y+2)))((3y+6)/(15y-30))}}} Factor {{{6y+12}}} to get {{{6(y+2)}}}.



{{{((9(y-2))/(6(y+2)))((3(y+2))/(15y-30))}}} Factor {{{3y+6}}} to get {{{3(y+2)}}}.



{{{((9(y-2))/(6(y+2)))((3(y+2))/(15(y-2)))}}} Factor {{{15y-30}}} to get {{{15(y-2)}}}.



{{{(9*3(y-2)(y+2))/(6*15(y+2)(y-2))}}} Combine the fractions. 



{{{(27(y-2)(y+2))/(90(y+2)(y-2))}}} Multiply



{{{(27*highlight((y-2))highlight((y+2)))/(90*highlight((y+2))highlight((y-2)))}}} Highlight the common terms. 



{{{(27*cross((y-2))cross((y+2)))/(90*cross((y+2))cross((y-2)))}}} Cancel out the common terms. 



{{{27/90}}} Simplify. 



{{{3/10}}} Reduce.



So {{{((9y-18)/(6y+12))((3y+6)/(15y-30))}}} simplifies to {{{3/10}}}.



In other words, {{{((9y-18)/(6y+12))((3y+6)/(15y-30))=3/10}}}