Mathematics: Where i is the imaginary unit the expression (x+3i)^2-(2x-3i)^2 is equivalent to

Where i is the imaginary unit the expression

bionicboy03120440

10.03.2022

(x+3i)^2-(2x-3i)^2=-3x^2+18xi

Step-by-step explanation:

we are given

(x+3i)^2-(2x-3i)^2

we can use formula

(a+b)^2=a^2+2ab+b^2

$(x+3i)^2=x^2+2\times x\times 3i+(3i)^2$

(x+3i)^2=x^2+6xi-9

$(2x-3i)^2=(2x)^2-2\times 2x\times 3i+(3i)^2$

(2x-3i)^2=4x^2-12xi-9

now, we can plug values

(x+3i)^2-(2x-3i)^2=(x^2+6xi-9)-(4x^2-12xi-9)

now, we can simplify it

we get

(x+3i)^2-(2x-3i)^2=-3x^2+18xi

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towelmearowel

20.08.2021

0.15

Step-by-step explanation:

it is the probability of the group of answers

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