Q. Apply the distributive property to factor out the greatest common factor.20+4k=
Find GCF of 20 and 4k: We need to find the greatest common factor (GCF) of the terms 20 and 4k.The GCF of 20 and 4k is 4 because 4 is the largest number that divides both 20 and 4k without leaving a remainder.
Apply distributive property: Now, we apply the distributive property to factor out the GCF from the expression 20+4k.This means we divide each term by the GCF and then multiply the sum of the resulting terms by the GCF.So, we have 4×(420+k).
Simplify expression inside parentheses: Simplify the expression inside the parentheses.20÷4=5, so we have 4×(5+k).
Final factored form: The expression is now fully factored with the GCF taken out.The final factored form is 4(5+k).