For this case we have:
By definition, the distributive property establishes:
[tex]a (b + c) = ab + ac[/tex]
In addition, the law of signs states:
[tex]+ * + = +\\+ * - = -\\- * + = -\\- * - = +[/tex]
Having said that, we tried each option:
[tex]A) 5 (12 - 6) = (5) (12) - (5) (6)\\B) -4 (17 + 6) = (-4) (17) + (- 4) (6)\\C) -3 (9 - 2) = (- 3) (9) - (- 3) (2)\\D) 7 (13 + 2) = (7) (13) + (7) (2)[/tex]
It is observed that when comparing the results with those of the options given, the error is in option A.
Answer:
Option A
