Wednesday, December 2, 2015

Express in the form of a complex number a+bi: (2-5i)-(-4-5i) and (-3i)-(7-4i)

To express the given numbers as the rectangular form of
a complex number, we'll have to perform the additions and subtractions of like
components of the complex number. That means that we'll combine the given real parts and
the imaginary parts.


(2-5i)-(-4-5i) = 2 - 5i + 4 +
5i


We'll eliminate like terms and we'll
have:


(2-5i)-(-4-5i) = 6


We'll
put the result in the requested form:


(2-5i)-(-4-5i) = 6 +
0*i


We'll transform the second
number:


(-3i)-(7-4i) = -3i - 7 +
4i


We'll combine the imaginary
parts:


(-3i)-(7-4i) = -7 +
i


Therefore, the requested complex numbers,
expressed in the form a + bi, are: (2-5i)-(-4-5i) = 6 + 0*i and (-3i)-(7-4i) = -7 +
i.

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