Question

Evaluate (2-5i)(p+q)(i) when p=2 and q=5i

Answer 1

`(2-5i)(p+q)(i)\implies (2i-5i^2)(p+q)\implies 2pi+2qi-5pi^2-5qi^2 \\\\\\ 2pi+2qi-5p(-1)-5q(-1)\implies 2pi+2qi+5p+5q ~~ \begin{cases} p=2\\ q=5i \end{cases} \\\\\\ 2(2)i+2(5i)i+5(2)+5(5i)\implies 4i+2(5i^2)+10+25i \\\\\\ 29i+2(~5(-1)~)+10\implies 29i-10+10\implies {\Large \begin{array}{llll} 29i \end{array}}`