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

20+4k=

Apply the distributive property to factor out the greatest common factor.\newline20+4k= 20+4 k=

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Q. Apply the distributive property to factor out the greatest common factor.\newline20+4k= 20+4 k=
  1. Find GCF of 2020 and 4k4k: We need to find the greatest common factor (GCF) of the terms 2020 and 4k4k.\newlineThe GCF of 2020 and 4k4k is 44 because 44 is the largest number that divides both 2020 and 4k4k without leaving a remainder.
  2. Apply distributive property: Now, we apply the distributive property to factor out the GCF from the expression 20+4k20 + 4k.\newlineThis means we divide each term by the GCF and then multiply the sum of the resulting terms by the GCF.\newlineSo, we have 4×(204+k)4 \times (\frac{20}{4} + k).
  3. Simplify expression inside parentheses: Simplify the expression inside the parentheses.\newline20÷4=520 \div 4 = 5, so we have 4×(5+k)4 \times (5 + k).
  4. Final factored form: The expression is now fully factored with the GCF taken out.\newlineThe final factored form is 4(5+k)4(5 + k).

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