Question

verify the property
x×(y+z)=(x×y)+(x×z) by taking x=-3/4,y=-5/2,z=7/8​

Answer 1

x=-3/4

y=-5/2

z=7/8​

To verify: x×(y+z)=(x×y)+(x×z)

Proof:

LHS = x×(y+z)

$\frac{-3}{4}$×($\frac{-5}{2}$ + $\frac{7}{8}$) = $\frac{-3}{4}$($\frac{-26}{16}$)

= $\frac{78}{64}$

= $\frac{39}{32}$     (1)

RHS =(x×y)+(x×z)

xy = $\frac{15}{8}$

yz = $\frac{-21}{32}$

(x×y)+(x×z)  = $\frac{312}{256}$

= $\frac{39}{32}$        (2)

From (1) and (2),

x×(y+z)=(x×y)+(x×z)

Hence verified