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You’ve uploaded an image containing a list of short and long answer math questions. I’ll walk through some of these problems and solve them for you. Let's start with the **Short Answer Questions**:

### Short Answer 1:
1. **Subtract**: \( 5a^2b^2c^2 \) from \( -7a^2b^2c^2 \)

\[
-7a^2b^2c^2 - 5a^2b^2c^2 = -12a^2b^2c^2
\]

2. **Simplify**: \( (ab - c)^2 + 2abc \)

First, expand \( (ab - c)^2 \):

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

Now add \( 2abc \):

\[
a^2b^2 - 2abc + c^2 + 2abc = a^2b^2 + c^2
\]

3. **Expand using identities**: \( \left( \frac{4a}{5} + \frac{5b}{4} \right)^2 \)

Use the identity \( (x + y)^2 = x^2 + 2xy + y^2 \):

\[
\left( \frac{4a}{5} + \frac{5b}{4} \right)^2 = \left( \frac{16a^2}{25} \right) + 2 \times \frac{4a}{5} \times \frac{5b}{4} + \left( \frac{25b^2}{16} \right)
\]

\[
= \frac{16a^2}{25} + \frac{2ab}{1} + \frac{25b^2}{16}
\]

4. **Carry out the following division**: \( 76x^3y^2 \div 19x^2y^2 \)

Simplify:

\[
\frac{76x^3y^2}{19x^2y^2} = 4x
\]

I'll continue solving the remaining questions. Do you want details for these steps or have any specific question to focus on?

Here are 5 relative questions for practice:
1. Subtract \( 3a^2b^2c \) from \( 5a^2b^2c \).
2. Expand \( (x + 2y)^2 + 4xy \).
3. Divide \( 90x^4y^3 \div 10x^2y^2 \).
4. Factor \( x^2 + 4x - 5 \).
5. Simplify \( \frac{6a}{b} \times \frac{b^2}{3a} \).

**Tip:** Always look for common terms in expressions before simplifying or expanding!

The list of short and long answer math questions from the image.

Explore a set of algebraic problems covering key concepts like expansion using identities, factorization, simplification, and solving quadratic equations. Suitable for students in Grades 9-12, this includes both short and long answer questions for thorough practice.

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