Which shows 24+54 written using gcf and the distributive property

To write it in the form of GCF and applyling distributive property , first of all we have to find the GCF of both the numbers.

So first step should be to find the GCF of the two numbers, 24 and 54

To find GCF , lets try to write the prime factorisation of both the numbers

24= 2*2*2*3

54=2*3*3*3

So the GCF is 2*3 = 6

So lets factor out 6 ,

we get

6(4+ 9),

This is the format shown by using GCF and distributive property , here GCF is 6 , and now we can apply the distributive property.

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: