Apply the distributive property to factor out the greatest common factor. 30+42 = 30, plus, 42, equals

6 (5+7)

Step-by-step explanation:

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Answer: Hello mate!

here we have the sum 30 + 42, and we want to factor the greatest common factor between 30 and 42.

We can try to go one for one, the biggest divisor of 30 is 15 (15*2 = 30), and 15 is not a divisor of 42, so this is not a common divisor of 30 and 42.

The second biggest divisor of 30 is 10 (10*3 = 30), and 10 is not a divisor of 42, so it is not a common divisor of 30 and 42.

the third biggest divisor of 30 is 6, (6*5 = 30) and 6 is a divisor of 42 (6*7 = 42)

then 6 is the biggest common factor of both 30 and 42

Now we can factor the sum as:

30 + 42 = 6*5 + 6*7 = 6 * (5 + 7) = 6*12