![To factor the expression \(8x - 18\) completely, follow these steps:
1. Identify the greatest common factor (GCF) of the terms:
- The GCF of 8 and 18 is 2.
2. Factor out the GCF:
\[
8x - 18 = 2(4x - 9)
\]
3. Check if the expression inside the parentheses can be factored further:
- \(4x - 9\) is a difference of squares, which can be factored as:
\[
4x - 9 = (2\sqrt{x})^2 - (3)^2
\]
However, it doesn't factor nicely with integers.
Thus, the completely factored form i](https://theinternetioimages-f2htc2ggcrath6d7.z01.azurefd.net/$web/askai/c8cfe632-1cfc-44f3-847c-7a4695f7aed3.webp)
Ask AI on The Internet
Question: Factor the expression completely. 8 x − 18
Asked by E-BOB123
To factor the expression \( 8x - 18 \) completely, we need to look for the greatest common factor (GCF) of the terms 8x and -18. 1. The factors of 8 are: 1, 2, 4, 8. 2. The factors of -18 are: ±1, ±2, ±3, ±6, ±9, ±18. The greatest common factor is 2. So, we can factor out 2 from both terms: \[ 8x - 18 = 2(4x - 9) \] Therefore, the expression \( 8x - 18 \) factored completely is \( 2(4x - 9) \).
Think your answer is better than the AI's? Post it below.
Question Tags
This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user E-BOB123's question. Images were generated with OpenAI's AI model, DALL·E 3. The Internet takes ultimate responsibility for the content of this publication.
If you want your question answered by an AI, click here.
If you want your question answered by an AI, click here.
Post your own comment: