How do you simplify (-2+i)(-5+8i)(−2+i)(−5+8i)?
1 Answer
Aug 30, 2016
Explanation:
Simplify by
color(blue)"distributing brackets and collecting like terms"distributing brackets and collecting like terms
rArr(-2+i)(-5+8i)=10-5i-16i+8i^2⇒(−2+i)(−5+8i)=10−5i−16i+8i2
color(orange)"Reminder " color(red)(|bar(ul(color(white)(a/a)color(black)(i^2=(sqrt(-1))^2=-1)color(white)(a/a)|)))
rArr10-5i-16i+8i^2=10-21i-8=2-21i
rArr(-2+i)(-5+8i)=2-21i
