Factor the expression 9x + 15.

1. Find the GCF for all of the terms in the expression. 1. GCF(9x, 15) = 3

2. Divide by the GCF. 2.

9x

3

= 3x,

15

3

= 5

3. Write the expression as a product. 3.

4. Check that the expressions are equivalent with the distributive property.

(9x + 15) = 3(3x + 5)

This is basically the distributive property of multiplication.

Step-by-step explanation:

We have to factorize the expression (9x + 15).

Now, 3 is the GCF of 9x and 15.

So, divide 9x by 3 and we will get and divide 15 by 3 and we will get .

Now, sum the results as (3x + 5).

Then express the factorized term as the product of (3x + 5) and 3

i.e. (9x + 15) = 3(3x + 5)

So, this is basically the distributive property of multiplication. (Answer)

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions