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To fully factorize the expression \( 27t^2 + 15t \), we follow these steps:

1. Identify the common factor between the two terms. The terms are \( 27t^2 \) and \( 15t \). Both terms share a common factor of \( 3t \).

2. Factor out \( 3t \) from both terms:
\[
27t^2 + 15t = 3t(9t + 5)
\]

So, the fully factorized form of the expression is:
\[
3t(9t + 5)
\]

Would you like further details on factorization or any clarification?

Here are 5 related questions you might find useful:
1. How do you factor expressions with more complex terms?
2. What are the steps to factor quadratic expressions?
3. Can all polynomial expressions be factorized?
4. How do you factor trinomials, like \( ax^2 + bx + c \)?
5. What is the difference between factoring and expanding an expression?

**Tip:** Always look for the greatest common factor (GCF) first when factorizing polynomials.

Learn how to fully factorize the expression 27t² + 15t by factoring out the greatest common factor (GCF). This step-by-step guide walks you through finding the GCF and applying the distributive property. Suitable for students in Grades 8-10.

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