If AB = AC then
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Answers
SOLUTION
Value of B and C depends on the value of A. if A is non-singular, i.e non zero, then B=C.
But if A=0, then both terms AB and AC becomes zero, so B and C need not be necessarily equal.
Question -
If AB = AC then, what can be the following outcomes ?
Solution -
In the above Question, we have been given the following information -
AB = AC
We are not specified what AB and AC are .
They may be equal line segments .
Or they may be the product of two numbers .
If they are distinct numbers -
We have the following condition -
AB = AC
Hence, we can state that B = C when the value of A is non zero .
Additional Information -
Commutative Property -
If two numbers , A and B are commutative, that means A + B = B + A
Distributive Property -
If three numbers, A , B and C are distributive, then A ( B + C ) = AB + AC
Associative Property -
For three numbers A, B and C , A ( B × C ) = ( A × B ) × C = B × ( A × C )
Additive Identity -
For any number A , A + 0 = A
Line Segment -
A line segment is a part of a line that is bounded by two distinct end points.
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