(2+3i)+(-4+i) left-parenthesis 2 plus 3 i right-parenthesis plus left-parenthesis negative 4 plus i right-parenthesis

-2 + 4i

Step-by-step explanation:

1) remove unnecessary parentheses:

2 + 3i + (-4 + i)

2) calculate difference:

-4 + 2 = -2

-2 + 3i + i

3) collect like terms:

For our -2 + 4i

There ya go, hope I helped good luck!

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.