Question

Verify x (y+z) = x*y + x*z by taking x =-3/7, = 12/13, z = 5/-6​

Answer 1

$x(y + z) = x \times y + x \times z \\ \frac{ - 3}{7} ( \frac{12}{13} - \frac{5}{6} ) = \frac{ - 3}{7} \times \frac{12}{13} + \frac{ - 3}{7} \times \frac{ - 5}{6} \\ \frac{ - 3}{7} ( \frac{72 - 65}{78} ) = \frac{ - 36}{91} + \frac{5}{14} \\ \frac{ - 3}{7} ( \frac{7}{78} ) = \frac{ - 72 + 65}{182} \\ \frac{ - 1}{26} = \frac{ - 7}{182} \\ \frac{ - 1}{26} = \frac{ - 1}{26}$

Hence Verified