((k^2+6k+9)/(k^2+12k+27))×(k^2+9)/((k^2+12k+27))

Question

express in lowest terms

Answer 1

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

Answer 2

(k^2+9)/((k+9)*(k+9))=

(k^2+9)/(k+9)^