Question

Multiply (6 - 5)². OA) 11+ 60i B) 36 +25i OC) 11-60i OD) 36-25i

Answer 1

Answer:

$\textsf{C)} \quad 11-60i$

Step-by-step explanation:

$\textsf{Multiply }\: (6-5i)^2$

$\implies (6-5i)(6-5i)$

$\implies 6(6-5i)-5i(6-5i)$

$\implies 36-30i-30i+25i^2$

$\implies 36-60i+25i^2$

$\textsf{Remember that }i^2=-1:$

$\implies 36-60i+25(-1)$

$\implies 36-60i-25$

$\implies 36-25-60i$

$\implies 11-60i$