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)

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

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step-by-step explanation: