Question

Which expression results from using the Distributive Property to rewrite − 9 . 1 ( − 4 ) − 9 . 1 ( 12 ) -9.1(-4) - 9.1(12)? A. 9 . 1 ( − 4 + 12 )B. − 9 . 1 ( − 4 + 12 C. 9 . 1 ( − 4 − 12 ) D. − 9 . 1 ( 4 - 12 )

Answer 1

Option B.

Explanation:

Distributive property: If a.b and c are three real number, then

`a(b+c)\Leftrightarrow ab+ac`

The given expression is

`-9.1(-4)-9.1(12)`

In the given expression -9.1 is greatest common factor.

Taking out GCF, the given expression can be rewritten as

`-9.1(-4+12)`

The required expression is -9.1(-4+12).

Therefore, the correct option is B.