**16p16** **- 64q10 = ?**

Click on your answer.

(4p8+7q5)(4p8-7q5)

(3p8+8q5)(3p8-8q5)

(4p8+8q4)(4p8-8q4)

(4p8+9q5)(4p8-9q5)

(4p8+8q5)(4p8-8q5)

The expression given is:

\[
16p^{16} - 64q^{10}
\]

This is a difference of squares, which can be factored as follows:

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

Here, \( a = 4p^8 \) and \( b = 8q^5 \). So the expression can be factored as:

\[
(4p^8 - 8q^5)(4p^8 + 8q^5)
\]

The correct answer is:

**(4p8+8q5)(4p8-8q5)**

Would you like more details or have any questions?

Here are 8 related questions:

1. How do you factor a difference of squares?
2. What is the general form of the difference of squares?
3. How can the expression \(25x^2 - 36y^2\) be factored?
4. What are some common mistakes when factoring polynomials?
5. Can all expressions be factored as a difference of squares?
6. How do you determine the square root of a term like \(64q^{10}\)?
7. What is the difference between factoring and expanding an expression?
8. How do you apply the difference of squares in solving equations?

**Tip:** Always look for patterns like perfect squares when factoring polynomials; they often simplify the problem significantly.

Learn how to factor the expression 16p^16 - 64q^10 using the difference of squares formula. Detailed step-by-step solution provided. Suitable for advanced high school students.

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