How do you simplify [(3+i)x^2-ix+4+i]-[(-2+3i)x^2+(1-2i)x-3]?

1 Answer
Dec 28, 2016

[(3+i)x^2-ix+4+i]-[(-2+3i)x^2+(1-2i)x-3]=(5-2i)x^2+(-1+i)x+(7+i)

Explanation:

[(3+i)x^2-ix+4+i]-[(-2+3i)x^2+(1-2i)x-3]

= {(3+i)-(-2+3i)}x^2+{-i-(1-2i)}x+{4+i-(-3)]

= {3+i+2-3i}x^2+{-i-1+2i}x+{4+i+3]

= (5-2i)x^2+(-1+i)x+(7+i)