Question

prove that,
Ax(B - C) = (AXB) - (AXC)​

Answer 1

Answer:

LHS = RHS

Step-by-step explanation:

LHS= AX(B)- AX(C)

=AXB - AXC

HENCE, PROVED

LHS = RHS

HOPE IT HELPS

Answer 2

Concept

Find the equal sign on one side of the equal sign on the other side, and they will be regarded equal. Simplify both the left and right hand sides (LHS and RHS) until they are the same. Then LHS equals RHS, which is expressed as LHS= RHS, indicating that the identity or mathematically accepted truth is true.

Given

$Ax(B-C)=(AxB)-(AxC)$

Find

We are asked to prove LHS=RHS

Solution

We are taking LHS

$Ax(B - C)\\=AxB-AxC=RHS$

Hence we proved that

$Ax(B-C)=(AxB)-(AxC)$

means LHS=RHS