Question

Simplify each expression.
1.6n^2 - 5n^2
2. -(-5 + 10x)
3. 18 divided by (-3/5)
6. -4(p-(-5))

Answer 1

Let's simplify each expression one by one.

1. **Simplify \( 6n^2 - 5n^2 \)**:
\[
6n^2 - 5n^2 = (6 - 5)n^2 = 1n^2 = n^2
\]

2. **Simplify \( -(-5 + 10x) \)**:
\[
-(-5 + 10x) = 5 - 10x
\]

3. **Simplify \( 18 \div \left(-\frac{3}{5}\right) \)**:
To divide by a fraction, we can multiply by its reciprocal:
\[
18 \div \left(-\frac{3}{5}\right) = 18 \times \left(-\frac{5}{3}\right) = -\frac{18 \times 5}{3} = -\frac{90}{3} = -30
\]

4. **Simplify \( -4(p - (-5)) \)**:
\[
-4(p - (-5)) = -4(p + 5) = -4p - 20
\]

So the simplified expressions are:
1. \( n^2 \)
2. \( 5 - 10x \)
3. \( -30 \)
4. \( -4p - 20 \)