Apply the distributive property to factor out the greatest common factor.
35+14=35+, plus, 14, equals
35 + 14 equals a perfect opportunity for the distributive property to show off its skills! Now, let's see. The greatest common factor between 35 and 14 is 7. So, we can rewrite the equation as 7(5) + 7(2). Tada! The distributive property just made an appearance and factored out that cool GCF of 7. It's like magic, but with numbers.
To apply the distributive property to factor out the greatest common factor of 35 and 14, we need to find the greatest common factor (GCF) of the two numbers first.
The GCF of 35 and 14 is 7 because it is the largest number that divides both 35 and 14 evenly.
Now, we can rewrite the expression 35 + 14 as:
7 * 5 + 7 * 2
Notice that we have factored out the common factor of 7 from both terms. We can now simplify this expression further by applying the distributive property:
7 * (5 + 2)
The final result after factoring out the greatest common factor using the distributive property is 7 * (5 + 2), which simplifies to 7 * 7 or 49.
To apply the distributive property to factor out the greatest common factor of 35 and 14, we need to find the largest number that divides evenly into both 35 and 14. In this case, the greatest common factor is 7.
Applying the distributive property, we can write:
35 + 14 = 7 * 5 + 7 * 2
Now, we can factor out the greatest common factor:
35 + 14 = 7(5 + 2)
Therefore, the expression 35 + 14 can be factored as 7(5 + 2).