(34+45⋅i)-(12-310⋅i)

Combine 45 and i.

34+4i5-(12-310⋅i)

Simplify each term.

Combine i and 310.

34+4i5-(12-i⋅310)

Move 3 to the left of i.

34+4i5-(12-3i10)

34+4i5-(12-3i10)

Apply the distributive property.

34+4i5-12–3i10

Multiply –3i10.

Multiply -1 by -1.

34+4i5-12+13i10

Multiply 3i10 by 1.

34+4i5-12+3i10

34+4i5-12+3i10

34+4i5-12+3i10

To write -12 as a fraction with a common denominator, multiply by 22.

34-12⋅22+4i5+3i10

Multiply 12 and 22.

34-22⋅2+4i5+3i10

Multiply 2 by 2.

34-24+4i5+3i10

34-24+4i5+3i10

Combine the numerators over the common denominator.

3-24+4i5+3i10

Subtract 2 from 3.

14+4i5+3i10

To write 4i5 as a fraction with a common denominator, multiply by 22.

14+4i5⋅22+3i10

Multiply 4i5 and 22.

14+4i⋅25⋅2+3i10

Multiply 5 by 2.

14+4i⋅210+3i10

14+4i⋅210+3i10

Combine the numerators over the common denominator.

14+11i10

Simplify (3/4+4/5*i)-(1/2-3/10*i)