evaluate (2 - 5i)(p + q)(i) when p = 2 and q = 5i.\n29i\n29i - 20\n-21i\n29

evaluate (2 - 5i)(p + q)(i) when p = 2 and q = 5i.\n29i\n29i - 20\n-21i\n29

evaluate (2 - 5i)(p + q)(i) when p = 2 and q = 5i.\n29i\n29i - 20\n-21i\n29

Answer

Answer:

First, substitute (p = 2) and (q = 5i) into ((p + q)): (p+q=2 + 5i)

Then, we need to evaluate ((2-5i)(2 + 5i)(i))

We know that ((a+bi)(a - bi)=a^{2}+b^{2}), so ((2-5i)(2 + 5i)=2^{2}-(5i)^{2}=4-(- 25)=4 + 25=29)

Then ((2-5i)(2 + 5i)(i)=29i)

The answer is 29i.