Question

verify a×(b×c)=(a×b)×c by taking a=_4/7 b,14/15 and c,_3/4a​

Answer 1

Answer:

Taking LHS.

a=4/7

a=4/7b= 14/15

a=4/7b= 14/15c=3/4a

a=4/7b= 14/15c=3/4a =3/(4x4/7)

a=4/7b= 14/15c=3/4a =3/(4x4/7) = (3x7)/4x4

a=4/7b= 14/15c=3/4a =3/(4x4/7) = (3x7)/4x4 =21/16

a=4/7b= 14/15c=3/4a =3/(4x4/7) = (3x7)/4x4 =21/16 ax(bxc)

a=4/7b= 14/15c=3/4a =3/(4x4/7) = (3x7)/4x4 =21/16 ax(bxc) =4/7x(14/15x21/16)

a=4/7b= 14/15c=3/4a =3/(4x4/7) = (3x7)/4x4 =21/16 ax(bxc) =4/7x(14/15x21/16)=7/10

Taking RHS

(axb)xc

(axb)xc=(4/7x14/15)x21/16

(axb)xc=(4/7x14/15)x21/16=7/10

RHS=LHS

THUS VERIFIED