Which is a complete list of factors of each term in the expression 15+20x?

a.15: 1,3,5,15
20x: 1,2,4,5,10,20,x

b.15: 1,3,5,15
20x: 1,2,4,5,10,20

c.15: 3,5
20x: 4,5,x

d.15: 1,3,5,
20x: 1,2,4,4,10,x

The correct option is A.

Step-by-step explanation:

The given expression is 15+20x.

If a number p is completely divisible by q then q is a factor of p.

15 is completely divisible by 1, 3, 5 and 15. So, the factors of 15 are 1, 3, 5 and 15.

20x is completely divisible by 1, 2, 4, 5, 10, 20 and x. The factors of 20 are 1, 2, 4, 5, 10, 20 and x.

The complete list of factors of each term in the expression 15+20x is

15   : 1,3,5,15

20x: 1,2,4,5,10,20,x

Therefore the correct option is A.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

180

step-by-step explanation: