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!