Question

Verify a×( b+ c ) = axb + bxc if a = 7/15, b = 1/7, c = 3/14​

Answer 1

Answer:

a×(b+c)= (a×b) + ( a×c) = 1/6

Step-by-step explanation:

LHS = a × (b+c) = 7/15 × ( 1/7 + 3/14)

= 7/15 × ( 2/7 + 3/14)

= 7/15 × 5/14

= 1/ 6

now

RHS = ( a×b) + ( a×c) =( 7/15 × 1/7) + ( 7/15×3/14)

= (1/15)+(1/10)

= (10+15) / 150

= 25/150

= 1/6