Question

verify:x(y+z)=(x*y)+(x*z) , if x=5/6,y=-8/3,z=-13/2.

Answer 1

x (y+z)=x (y+z) x is common out from the (x*y)+(x*z) prove both are equal

Answer 2

LHS = x(y+z)

= 5/6 × (-8/3 + -13/2)

= 5/6 × (-16-39)/6

= 5/6 × -55/6

= -275/36


RHS = (x*y) + (x*z)

= (5/6 × -8/3) + (5/6 × -13/2)

= -40/18 + (-65/12)

= (-80 - 195)/36

= -275/36


hence LHS = RHS. (proved)