Here are some potential keywords for SEO for a new SaaS platform focused on online learning and private tutoring:

• Online learning platform
• Private tutoring platform
• E-learning solution
• Tutoring software
• Virtual tutoring
• Online tutoring services
• Private education platform
• Virtual classroom software
• Distance learning platform
• Online teaching tools

To increase market outreach and awareness, you can use these keywords in a variety of ways:

• Incorporate them into your website's content, such as your homepage, product pages, and blog posts. This will help search engines understand what your website is about and improve its ranking in search results.
• Use them in your website's meta titles and meta descriptions to give potential customers a clear idea of what your platform offers.
• Include them in your social media posts, newsletters, and other marketing materials to reach a wider audience.
• Use them in paid advertising campaigns, such as Google AdWords, to target specific keywords and reach potential customers who are searching for online learning or private tutoring solutions.
• Optimize your website for these keywords to improve its visibility in search results and make it easier for potential customers to find you. This may include things like optimizing your website's structure, creating high-quality content, and building backlinks from other reputable websites.

Here is a potential strategy for using these keywords in paid advertising campaigns:

1. Identify the most relevant and high-performing keywords from the list you provided. You can use a keyword research tool, such as Google's Keyword Planner, to help you identify keywords that have a high search volume and low competition.

2. Organize your keywords into themed groups or "ad groups." For example, you could create ad groups for keywords related to online learning, private tutoring, and e-learning solutions.

3. Use these ad groups to create targeted ads that are specifically designed to appeal to potential customers searching for these keywords. For example, you could create an ad for your online learning platform that targets keywords like "virtual classroom software" and "distance learning platform."

4. Set up your ads to appear in search results when potential customers search for these keywords. This will help ensure that your ads are seen by the right people at the right time.

5. Monitor the performance of your ads and adjust your keyword strategy as needed. This may involve adding new keywords, removing underperforming keywords, or adjusting your bid prices to improve the performance of your ads.

By following this strategy, you can effectively use keywords to reach potential customers and increase the visibility of your SaaS platform in paid advertising campaigns.