The expression \( 3x^2 - 147 \) can be factored by first factoring out the greatest common factor (GCF), which in this case is 3.

\[
3x^2 - 147 = 3(x^2 - 49)
\]

Next, notice that \( x^2 - 49 \) is a difference of squares, which can be factored as:

\[
x^2 - 49 = (x - 7)(x + 7)
\]

So the fully factored form of the expression is:

\[
3x^2 - 147 = 3(x - 7)(x + 7)
\]

Would you like further explanation on any part of this?

Here are 5 related questions for practice:
1. Factor \( x^2 - 64 \).
2. Solve the equation \( 3x^2 - 147 = 0 \).
3. Factor \( 4x^2 - 100 \).
4. Simplify \( 5x^2 - 80 \).
5. What is the GCF of \( 6x^2 - 54 \)?

**Tip**: Always check if an expression is a difference of squares when you see two terms subtracted!

Learn how to factor the expression 3x^2 - 147 by identifying the greatest common factor (GCF) and applying the difference of squares formula. This solution is perfect for students in Grades 8-10, focusing on key algebraic concepts such as factoring and difference of squares.

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