Why is subtracting an expression similar to distributing a –1?
You increase each term inside the parentheses by –1 in order to subtract each term, since subtraction is the additive inverse.
You multiply each term inside the parentheses by –1 in order to add each term, since subtraction is the multiplicative inverse.
You multiply each term inside the parentheses by –1 in order to subtract each term, since subtraction is the multiplicative inverse.
You multiply each term inside the parentheses by –1 in order to subtract each term, since subtraction is the additive inverse.

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Answer:

You multiply each term inside the parentheses by –1 in order to subtract each term, since subtraction is the additive inverse.

Step-by-step explanation:

You multiply each term inside the parentheses by –1 in order to subtract each term, since subtraction is the additive inverse.

fichoh

Using the distributive property, distributing -1 ; multiplies each term in the parenthesis by a negative sign. Hence, it is similar to subtraction because You multiply each term inside the parentheses by –1 in order to subtract each term, since subtraction is the additive inverse.

The additive inverse of a value is the value which ensures that the addition of two values gives 0.

Using the relation :

(w + x) - (y + z)

The negative sign implies distributing -1 to all values in the parenthesis ;

w + x - y - z

Hence, it is similar to using the subtraction operation directly :

(w + x) - y - z

Therefore, subtraction ls similar to distributing - 1

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