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Apply the distributive property to factor out the greatest common factor.

16+36=

Apply the distributive property to factor out the greatest common factor.\newline16+36= 16+36=

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Q. Apply the distributive property to factor out the greatest common factor.\newline16+36= 16+36=
  1. Identify GCF of 1616 and 3636: Identify the greatest common factor (GCF) of 1616 and 3636.\newlineTo find the GCF, we list the factors of each number:\newlineFactors of 1616: 11, 22, 44, 88, 1616\newlineFactors of 3636: 11, 22, 363633, 44, 363655, 363666, 363677, 363688, 3636\newlineThe greatest common factor is the largest factor that both numbers share.\newlineThe GCF of 1616 and 3636 is 44.
  2. Factor out GCF using distributive property: Use the distributive property to factor out the GCF from the expression 16+3616 + 36.\newlineThe distributive property states that a(b+c)=ab+aca(b + c) = ab + ac.\newlineWe can apply this property in reverse to factor out the GCF from the sum of two numbers.\newlineFactor out the GCF (44) from the expression: 4(164)+4(364)4(\frac{16}{4}) + 4(\frac{36}{4}).
  3. Simplify expression inside parentheses: Simplify the expression inside the parentheses.\newlineDivide each term by the GCF to find the simplified terms:\newline1616 divided by 44 equals 44.\newline3636 divided by 44 equals 99.\newlineSo, the factored expression is 4(4)+4(9)4(4) + 4(9).
  4. Write final factored expression: Write the final factored expression using the distributive property.\newlineCombine the terms inside the parentheses with the GCF outside:\newline4(4+9)4(4 + 9).
  5. Add terms inside parentheses: Add the terms inside the parentheses to complete the factoring. \newline4+9=134 + 9 = 13.\newlineSo, the final factored expression is 4(13)4(13).

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