Simplify each expression.

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

1 answer

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. \( -4p - 20 \)