Question

verify the property a x (b + c) = (a x b) + (a x c) where a = -3/5 , b = 5/9 , c = -10/3

Answer 1

Answer:

a x (b + c) = (a x b) + (a x c) this is Associative property of multiplication.

$\frac{5}{3}$ = $\frac{5}{3}$

Hence it is verified.

Step-by-step explanation:

a x (b + c) = (a x b) + (a x c) this is Associative property of multiplication.

Given:  a = -3/5 , b = 5/9 , c = -10/3

Verification= This is the process of putting value in equation of both the side and the result should be equal.

a x (b + c) = (a x b) + (a x c)

-3/5 × ( 5/9 + (-10/3) = ( -3/5 × 5/9) + [-3/5 × (-10/3)]

-3/5 × (5/9-10/3) = -1/3 + 2

-3/5 × -25/9 = $\frac{-1+6}{3}$

$\frac{5}{3}$ = $\frac{5}{3}$

Hence it is verified.