Q. Apply the distributive property to factor out the greatest common factor.16+36=
Identify GCF of 16 and 36: Identify the greatest common factor (GCF) of 16 and 36.To find the GCF, we list the factors of each number:Factors of 16: 1, 2, 4, 8, 16Factors of 36: 1, 2, 363, 4, 365, 366, 367, 368, 36The greatest common factor is the largest factor that both numbers share.The GCF of 16 and 36 is 4.
Factor out GCF using distributive property: Use the distributive property to factor out the GCF from the expression 16+36.The distributive property states that a(b+c)=ab+ac.We can apply this property in reverse to factor out the GCF from the sum of two numbers.Factor out the GCF (4) from the expression: 4(416)+4(436).
Simplify expression inside parentheses: Simplify the expression inside the parentheses.Divide each term by the GCF to find the simplified terms:16 divided by 4 equals 4.36 divided by 4 equals 9.So, the factored expression is 4(4)+4(9).
Write final factored expression: Write the final factored expression using the distributive property.Combine the terms inside the parentheses with the GCF outside:4(4+9).
Add terms inside parentheses: Add the terms inside the parentheses to complete the factoring. 4+9=13.So, the final factored expression is 4(13).