Question

prove that A x (B - C) = (A x B) - (A x C)

Answer 1

Let

• A=1
• B=2
• C=3

LHS:-

$\\ \sf\longmapsto A(B-C)$

$\\ \sf\longmapsto 1(2-3)$

$\\ \sf\longmapsto 1(-1)$

$\\ \sf\longmapsto -1$

RHS:-

$\\ \sf\longmapsto (A\times B)-(A\times C)$

$\\ \sf\longmapsto (1\times 2)-(1\times 3)$

$\\ \sf\longmapsto 2-3$

$\\ \sf\longmapsto -1$

Hence Verified