**25a2** **- 100b2 = ?**

Click on your answer.



(5a-10b)(5a-10b)

(5a+9b)(5a-9b)

(5a+10b)(5a-10b)

(6a+10b)(6a-10b)

(6a+9b)(6a-9b)

The expression given is:

\[
25a^2 - 100b^2
\]

This is also a difference of squares, which can be factored using the formula:

\[
a^2 - b^2 = (a - b)(a + b)
\]

Here, \( a = 5a \) and \( b = 10b \). So the expression can be factored as:

\[
(5a - 10b)(5a + 10b)
\]

The correct answer is:

**(5a+10b)(5a-10b)**

Would you like more details or have any questions?

Here are 8 related questions:

1. How do you recognize a difference of squares in a polynomial?
2. What are the steps to factor \( 36x^2 - 49y^2 \)?
3. How can you verify if your factorization is correct?
4. What happens if the terms in the difference of squares are not perfect squares?
5. How do you factor an expression like \( 9x^2 - 25y^2 \)?
6. Can you factor \( 16x^4 - 81y^4 \) using the difference of squares method?
7. What is the significance of the signs in the difference of squares formula?
8. How do you apply factoring in solving quadratic equations?

**Tip:** Always simplify the expression first by taking out any common factors before applying the difference of squares method.

Learn how to factor the expression 25a^2 - 100b^2 using the difference of squares method. This problem involves key algebraic concepts and formulas related to polynomials and factoring. Suitable for high school students in Grades 9-12.

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