Question

For a = 2/3, b= -5/6 and c=1/2 , prove that a x ( b+ c) = a x b + a x c

Answer 1

Step-by-step explanation:

LHS: a (b + c)

= 2/3 (-5/6 + 1/2)

Take the LCM, (for the bracket)

= 2/3 (-10 + 6 ÷ 12)

= 2/3 (-4/12)

After simplifying,

LHS = -2/9

RHS: ab + ac

= (2/3 × -5/6) + (2/3 × 1/2)

After simplifying both brackets, you will get

= -5/9 + 1/3

Take the LCM,

= -15 + 9 ÷ 27

= -6/27

After simplifying,

RHS = -2/9

Hence proved.

Answer 2

Answer:

-2/9 = -2/9

Step-by-step explanation:

given a = 2/3

b = -5/6

c = 1/2

= a*(b+c) = a*b+a*c

= 2/3*(-5/6+1/2) = 2/3*-5/6+2/3*1/2

= 2/3*(-5*1+1*3/6) = -5/9+1/3

= 2/3*-5+3/6 = -5+1*3/9

= 2/3-1/3 = -5+3/9

= -2/9 = -2/9

hence a*(b+c) = a*b+a*c

hope it will help you