Question

Simplify 2i/-4 + 3i please

Answer 1

2i

−4

+3i

=

5

2

i

Step-by-step explanation:

i think it helps

Answer 2

Answer:

$\frac{6}{25}$ - $\frac{8}{25}$ i

Step-by-step explanation:

Assuming you mean

$\frac{2i}{-4+3i}$

To simplify, rationalise the denominator

Multiply the numerator/ denominator by the conjugate of the denominator

The conjugate of - 4 + 3i is - 4 - 3i , then

= $\frac{2i(-4-3i)}{(-4+3i)(-4-3i)}$ ← expand numerator and denominator

= $\frac{-8i-6i^2}{16-9i^2}$ [ note that i² = - 1 ]

= $\frac{-8i+6}{16+9}$

= $\frac{6-8i}{25}$

= $\frac{6}{25}$ - $\frac{8}{25}$ i ← in standard form