Question

simplify the following expression.
$(2 - 5i)(6 + i)$
answer

Explanation:

Step1: Apply FOIL method

$(2-5i)(6+i) = 2\times6 + 2\times i + (-5i)\times6 + (-5i)\times i$

Step2: Calculate each term

$= 12 + 2i - 30i - 5i^2$

Step3: Substitute $i^2=-1$

$= 12 + 2i - 30i - 5(-1)$

Step4: Simplify real and imaginary parts

$= 12 + 5 + (2i - 30i)$
$= 17 - 28i$

Answer:

$17 - 28i$