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

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

answer: ok

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct