Question

6. Verify each of the following for x =-2/5,y=3/7,z=-4/11
a). x*(y+z)=(x*y) + (x*z)​

Answer 1

Answer:

I don't know the answer of this question

Answer 2

Answer:

Given:

x = -2/5

y = 3/7

z = -4/11

To Show:

x( y+z ) = ( x×y ) + ( x×z )

LHS = RHS

Required Answer:

Put the values of x, y, z

$\frac{ - 2}{5} \: (\frac{3}{7} + ( \frac{ - 4}{11} ) ) = ( \frac{ - 2}{5} \times \frac{3}{7} ) + ( \frac{ - 2}{5} \times \frac{ - 4}{11} ) \\ \\ \frac{ - 2}{5} ( \frac{33 - 28}{ 77} ) = \frac{ - 6}{35} + \frac{8}{55} \\ \\ \frac{ - 2}{5} \times \frac{5}{77} = \frac{ - 66 + 56}{385} \\ \\ \frac{ - 2}{77} = \frac{ - 10}{385} \\ \\ = { \boxed{ \pink{ \frac{ - 2}{77} = \frac{ - 2}{77} }}} \\ \\ lhs \: = \: rhs$

Hope you got the required answer !