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Apply the distributive property to factor out the greatest common factor. 27-18 r=

Apply the distributive property to factor out the greatest common factor.\newline27−18r= 27-18 r=

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Full solution

Q. Apply the distributive property to factor out the greatest common factor.\newline27−18r= 27-18 r=
  1. Identify GCF: Identify the greatest common factor (GCF) of 2727 and 1818. The factors of 2727 are 11, 33, 99, 2727. The factors of 1818 are 11, 22, 33, 181811, 99, 1818. The greatest common factor is 99.
  2. Factor out GCF: Apply the distributive property to factor out the GCF from the expression 27−18r27 - 18r.\ Factor out 99 from each term.\ 9(3)−9(2r)=9(3−2r)9(3) - 9(2r) = 9(3 - 2r)
  3. Check factored expression: Check the factored expression by distributing 99 back into the parentheses to ensure it equals the original expression.\newline9(3−2r)=9×3−9×2r=27−18r9(3 - 2r) = 9\times 3 - 9\times 2r = 27 - 18r\newlineThe original expression is obtained, so the factoring is correct.

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