Question

If x= -2/3, y= 1/4 , z= -5/8 verity that 1) x(y+z) = xy+xz​

Answer 1

Step-by-step explanation:

Left hand side

-2/3(1/4-5/8)=-2/3(2-5)/8=2/3(-3/8)=(-2/8)=(-1/4)

Right hand side

-2/3*(1/4)+(-2/3)(-5/8)=-2/12+5/12=(-2+5)/12

=(-3)/12=(-1/4)

Left hand side =Right hand side

Hence verified x(y+z) =xy+yz

Answer 2

Answer:

x(y+z) = xy+xz​

Step-by-step explanation:

Given

                                x= -2/3, y= 1/4 , z= -5/8

                               

Substituting the values in the equation x(y+z), we get

                    = -2/3(1/4-5/8)

                    = -2/3(2-5)/8=2/3(- 3/8)

                    = (- 1/4)

Substituting the values in the equation xy+xz​,  we get

                 -2/3*(1/4)+(- 2/3)(- 5/8)

               = -2/12+5/12=(- 2+5)/12

               = (-3)/12=(- 1/4)

        Therefore x(y+z) =xy+yz

Hence it is verified.

The project code is #SPJ2.