Question

verify the property
$x \times (y + z) = x \times y + x \times z$
rational number by talking
(a) x= -1/2 , y= -3/4 , z= 1/4
please answer me please don't scam
and i will mark him brilliant ​

Answer 1

Step-by-step explanation:

$x = - \frac{1}{2 } \\ y = - \frac{3}{4} \\ z = \frac{1}{4}$

LHS = x × (y + z)

$= ( - \frac{1}{2} )( - \frac{3}{4} + \frac{1}{4} ) \\ = ( - \frac{1}{2} )( \frac{ - 3 + 1}{4} ) \\ = ( - \frac{1}{2} )( - \frac{2}{4} ) \\ = ( - \frac{1}{2} )( - \frac{1}{2} ) \\ = \frac{1}{4}$

RHS = x × y + x × z

$= ( - \frac{1}{2} )( - \frac{3}{4} ) + ( - \frac{1}{2} )( \frac{1}{4} ) \\ = \frac{3}{8} + ( - \frac{1}{8} ) \\ = \frac{3}{8} - \frac{1}{8} \\ = \frac{3 - 1}{8} \\ = \frac{2}{8} = \frac{1}{4}$

LHS = RHS

Hence proved