Question

if p = -3/5 , quite = 1/2 , rang = -7/9 , then verify p ×(q+r) = p×q + p×r​

Answer 1

Answer:

LHS = RHS

Step-by-step explanation:

p x (q+r)

= -3/5 x (1/2+-7/9)

= -3/5 x (9/18+-14/18)

= -3/5 x -5/18

= 15/90

p x q + p x r

-3/5 x 1/2 + -3/5 x -7/9

= -3/10 + 21/45

= -27/90 + 42/90

= 15/90

Answer 2

Step-by-step explanation:

$LHS \: = p \times (q + r) \\ = \frac{ - 3}{5} ( \frac{1}{2} + ( \frac{ - 7}{9} )) \\ = \frac{ - 3}{5} ( \frac{9 - 14}{18} ) \\ = \frac{ - 3}{5} \times \frac{ - 5}{18} \\ = \frac{ 1}{6} \\ \\ Now \: \\ RHS = p \times q + p \times r \\ = \frac{ - 3}{5} \times \frac{1}{2} + \frac{ - 3}{5} \times \frac{ - 7}{9} \\ = \frac{ - 3}{10} + \frac{7}{15} \\ = \frac{ - 9 + 14}{30} \\ = \frac{5}{30} \\ = \frac{1}{6} \\ \\ Hence \: LHS = RHS$

Please mark brainliest answer.