Question
a student has simplified the following expression incorrectly
identify the mistake that was made and simply the ex;ression correctly show all necessary steps
(-3i)(-5i)
15i was the studentts answer
identify the mistake that was made and simply the ex;ression correctly show all necessary steps
(-3i)(-5i)
15i was the studentts answer
Answers
GPT 3.5
The mistake made by the student is in the distribution of the negative signs. To simplify the expression correctly, we use the property that i^2 is equal to -1.
(-3i)(-5i)
= -3(-5) * i * i
= 15 * i^2
= 15 * (-1) [Substituting i^2 with -1]
= -15
So, the correct simplification of the expression is -15.
(-3i)(-5i)
= -3(-5) * i * i
= 15 * i^2
= 15 * (-1) [Substituting i^2 with -1]
= -15
So, the correct simplification of the expression is -15.