Respuesta :

The answer would be B because it demonstrates the fact that if a is decreased by the quotient of b and c then the second expression wouldn't result into that same answer due to the different arrangements of the signs.

The statement that can't be justified by any algebraic property is; B: a - (b + c) = (a - b) + c

What are the properties of algebra?

There are different properties of algebra such as;

  • Associative Property; This is denoted by an example of; a + (b + c) =(a + b) + c or a(bc) = (ab)c

  • Identity Property; This is denoted by the example of; a + 0 = a and also a*1 = a

  • Inverse Property; This is depicted by the example; a + (−a) = 0.

  • Distributive Property; This is denoted by the example; a(b + c) = ab + ac.

From all the properties above, we can see that none of them have subtraction operation and as such Option B which has subtraction operation can't be justified by such properties.

Read more about properties of algebra at; https://brainly.com/question/2807928