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Why is subtracting an expression similar to distributing a –1? Use the drop-down menus to explain your answer.


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

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jacobEwing

Answer:

When subtracting expressions, we are applying the distributive property, where a multiple of an expression in brackets is applied to to each term.

e.g.

a(x + y) = ax + ay

In the case of subtracting an expression, we're doing the same thing, but in the example above, "a" would be equal to -1.

(a + b) - (c + d) ≡ (a + b) + -1(c + d)

And so the negative one is distributed across the terms within the brackets.

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