Question

If x=-2/3,y=1/4 and z=-5/4, then verify that
a)x (y + z) =x y + x z​

Answer 1

Answer:

If x=-2/3,

y=1/4

z=-5/4,

then verify that  a)x (y + z) =x y + x z​

-2/3 ( 1/4 + -5/4) = -2/3 x 1/4 + -2/3 x -5/4

-2/3 ( -4/4) = -2/12 + 10/12

-2/3 x -1 = 8/12

2/3 = 8/12

2/3 = 2/3

Answer 2

Answer:

$x = - \frac{2}{3} \\ \\ y = \frac{1}{4} \\ \\ z = - \frac{5}{4}$

$x(y + z) = xy + xz \\ - \frac{2}{3} ( \frac{1}{4} - \frac{5}{4} ) = - \frac{2}{3} ( \frac{1}{4} ) - \frac{2}{3} ( - \frac{5}{4} ) \\ \\ - \frac{2}{3} ( - 1) = - \frac{2}{12} + \frac{10}{12} \\ \\ \frac{2}{3} = \frac{8}{12} \\ \\ \frac{2}{3} = \frac{2}{3}$

Hence Verified

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