Chapter R4, Problem 1E

To determine

The expression after factoring out the greatest common factor.

Answer to Problem 1E

Solution:

$5(2x-3)$

Explanation of Solution

Given:

The expression is $10x-15$.

Key concepts:

The greatest common factor of the given terms is the largest factor that all the terms have in common.

Calculation:

Consider the expression $10x-15$.

The greater common factor between 10 and 15 is 5, and $x$ is not present in the second term. So, 5 is the greatest common factor of the terms $10x$ and $-15$.

Therefore, factoring out the greatest common factor we can write the given expression as shown below.

$10x-15=5(2x-3)$

Conclusion:

Expression after factoring out the greatest common is $5(2x-3)$ .