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.

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb