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Apply the distributive property to factor out the greatest common factor. 40 j-16=

Apply the distributive property to factor out the greatest common factor.\newline40j−16= 40 j-16=

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Full solution

Q. Apply the distributive property to factor out the greatest common factor.\newline40j−16= 40 j-16=
  1. Identify GCF of terms: Identify the greatest common factor (GCF) of the terms 40j40j and 1616.\newlineThe factors of 4040 are 1,2,4,5,8,10,20,1, 2, 4, 5, 8, 10, 20, and 4040. The factors of 1616 are 1,2,4,8,1, 2, 4, 8, and 1616. The greatest common factor of 4040 and 1616 is 161600.
  2. Divide terms by GCF: Divide each term by the GCF to find the remaining factors.\newlineFor 40j40j, we have 40j÷8=5j40j \div 8 = 5j.\newlineFor 1616, we have 16÷8=216 \div 8 = 2.
  3. Write factored form: Write the original expression as the GCF times the remaining factors.\newlineThe factored form of 40j−1640j - 16 is 8(5j−2)8(5j - 2).

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