Question

Simplify the expression: ((-1)(-a)(-bc))

a) abc
b) -abc
c) -a - abc
d) a - abc

Answer 1

To simplify the expression ((-1)(-a)(-bc)), let's break it down step by step. The expression contains the product of three negative terms. . Thus correct option is b) -abc

Step-by-step explanation:

To simplify the expression ((-1)(-a)(-bc)), let's break it down step by step. The expression contains the product of three negative terms. When multiplying negative numbers together, they result in a negative value. Therefore, (-1)(-a) equals to a negative value: a. Continuing with that, multiplying this by (-bc) results in -abc, hence the final simplified expression is -abc.

In detail, the first step is the multiplication of (-1) and (-a), which gives us a positive 'a' since two negatives multiplied result in a positive value. Then, further multiplying 'a' by (-bc) gives us -abc. Thus, the entire expression simplifies to -abc due to the multiplication of negative terms resulting in a negative value overall.

This simplification adheres to the rules of multiplication of negative numbers, where the product of an odd number of negative factors results in a negative value. In this case, three negative factors (-1, -a, and -bc) are being multiplied together, resulting in the negative value of -abc. This approach breaks down the expression step by step, following the principles of multiplication involving negative numbers, leading to the final simplified form of -abc.

Answer 2

In order to simplify the expression ((-1)(-a)(-bc))a, the simplified expression is -a - abc. So, the option c) -a - abc is correct.

Step-by-step explanation:

In order to simplify the expression ((-1)(-a)(-bc))a, the order of operations is applied systematically. Initially, multiplying -1 by (-a) yields a.

Subsequently, when this result is multiplied by (-bc), the expression becomes -abc.

Finally, multiplying -abc by the last factor 'a' results in a * (-abc), which simplifies to -a - abc.

Thus, the simplified form of the given expression is represented as -a - abc.

This stepwise process adheres to mathematical conventions, ensuring accurate simplification through successive operations.

The final expression encapsulates the combined effect of the original factors, presenting a concise and consolidated representation.

By following the prescribed sequence of operations, the complexity of the initial expression is efficiently reduced to a more manageable and interpretable form.

Hence, the option c) -a - abc is correct, the simplified expression is -a - abc.