#### Answer

$$-7$$

#### Work Step by Step

Initial Equation:
$$\frac{(1-3^{2})-(1-4^{2})}{3-4}$$ First, do the operations inside the parenthesis involving exponents:
$$\frac{(1-9)-(1-16)}{3-4}$$ Then do the subtraction inside the parenthesis:
$$\frac{-8-(-15)}{3-4}$$ Then preform the indicated operations in the numerator and denominator to simplify:
$$\frac{7}{-1}$$ Do the division, and the final answer is $$-7$$