Asked by Jason
                ((k^2+6k+9)/(k^2+12k+27))×(k^2+9)/((k^2+12k+27))
express in lowest terms
            
        express in lowest terms
Answers
                    Answered by
            Bosnian
            
    k ^ 2 + 6 k + 9 = ( x + 3 ) * ( x + 3 )
k ^ 2 + 12 k + 27 = ( x + 9 ) * ( x + 3 )
((k^2+6k+9)/(k+9)*(k+3)))*(k^2+9)/((k^2+12k+27))=
((k+3)*(k+3))/((x+9)*(k+3)) * ((k^2+9)/(((x+9)*(k+3))=
((k+3))/((x+9)) * ((k^2+9)/(((x+9)*(k+3))=
(k^2+9)/((x+9)*(k+9))=
(k^2+9)/(x+9)^2
    
k ^ 2 + 12 k + 27 = ( x + 9 ) * ( x + 3 )
((k^2+6k+9)/(k+9)*(k+3)))*(k^2+9)/((k^2+12k+27))=
((k+3)*(k+3))/((x+9)*(k+3)) * ((k^2+9)/(((x+9)*(k+3))=
((k+3))/((x+9)) * ((k^2+9)/(((x+9)*(k+3))=
(k^2+9)/((x+9)*(k+9))=
(k^2+9)/(x+9)^2
                    Answered by
            Bosnian
            
    (k^2+9)/((k+9)*(k+9))= 
(k^2+9)/(k+9)^
    
(k^2+9)/(k+9)^
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