5x + 15
factor the following expression : )

5(x+3), the binomial has a common multiple of 5, so we factor it out.

The factored version of this expression is 5(x+3).

Step-by-step explanation:

In order to factor expressions such as the one given, we must take out the GCF, or greatest common factor of each of the terms. This means we must find the largest number that each term is divisible by.

In this case, the GCF is 5. To factor, we divide each term by 5, and bring the 5 to the front of the expression, separating with parentheses to represent multiplication.

5x + 15 = 5(x+3)

Therefore, the favored version is 5(x+3).

Hope this helps!

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)