Question

simplify (-1+5i)(-3 + 2i)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify the product of two complex numbers (-1+5i) and (-3+2i), we can use the distributive property:

(-1+5i)(-3+2i)
= -1(-3) - 1(2i) + 5i(-3) + 5i(2i)
= 3 + 2i - 15i + 10i^2

Since i^2 = -1, we can simplify further:

3 + 2i - 15i + 10(-1)
= 3 + 2i - 15i - 10
= -7 - 13i

Therefore, the simplified form of the product (-1+5i)(-3+2i) is -7 - 13i.