multiply. (2 - 5i)(3 + i) enter your answer, in standard form, in the box.

multiply. (2 - 5i)(3 + i) enter your answer, in standard form, in the box.

multiply. (2 - 5i)(3 + i) enter your answer, in standard form, in the box.

Answer

Explanation:

Step1: Use FOIL method

$(2 - 5i)(3 + i)=2\times3+2\times i-5i\times3-5i\times i$

Step2: Calculate each product

$2\times3 = 6$, $2\times i=2i$, $-5i\times3=-15i$, and since $i^2=- 1$, $-5i\times i=-5\times(-1) = 5$

Step3: Combine like - terms

$6 + 2i-15i + 5=(6 + 5)+(2i-15i)=11-13i$

Answer:

$11-13i$