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Pre-Algebra
Mean
Mode
Greatest Common Factor
Least Common Multiple
Order of Operations
Fractions
Mixed Fractions
Prime Factorization
Exponents
Radicals
Algebra
Combine Like Terms
Solve for a Variable
Factor
Expand
Evaluate Fractions
Linear Equations
Quadratic Equations
Inequalities
Systems of Equations
Matrices
Trigonometry
Simplify
Evaluate
Graphs
Solve Equations
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6
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Solution Steps
( 3 - 4 i ) - ( - 3 - 4 i )
The opposite of -3-4i is 3+4i.
3-4i+\left(3+4i\right)
Combine the real and imaginary parts in numbers 3-4i and 3+4i.
3+3+\left(-4+4\right)i
Add 3 to 3. Add -4 to 4.
6
Real Part
6
View solution steps
Solution Steps
( 3 - 4 i ) - ( - 3 - 4 i )
The opposite of -3-4i is 3+4i.
Re(3-4i+\left(3+4i\right))
Combine the real and imaginary parts in numbers 3-4i and 3+4i.
Re(3+3+\left(-4+4\right)i)
Add 3 to 3. Add -4 to 4.
Re(6)
The real part of 6 is 6.
6
Quiz
Complex Number
5 problems similar to:
( 3 - 4 i ) - ( - 3 - 4 i )
Similar Problems from Web Search
How do you multiply \displaystyle{\left(-{4}{i}\right)}{\left(-{8}-{8}{i}\right)}{\left({1}-{8}{i}\right)} ?
https://socratic.org/questions/how-do-you-multiply-4i-8-8i-1-8i
\displaystyle{224}{i}-{288} Explanation: Distribute \displaystyle{\left({8}-{8}{i}\right)}{\left({1}-{8}{i}\right)} using the FOIL method, say. Then multiply the result by \displaystyle{\left(-{4}{i}\right)} ...
How do you evaluate \displaystyle{\left({3}-{4}{b}\right)}{\left({2}{\left(-{3}\right)}+{5}{a}\right)} if \displaystyle{a}=-{1},{b}=-{2} ?
https://socratic.org/questions/how-do-you-evaluate-3-4b-2-3-5a-if-a-1-b-2
Answer is \displaystyle-{121} Explanation: Substitute in the given values and you will get the answer by putting given values of a and b \displaystyle={\left\lbrace{3}-{4}{\left(-{2}\right)}\right\rbrace}{\left\lbrace{2}{\left(-{3}\right)}+{5}{\left(-{1}\right)}\right\rbrace} ...
How do you simplify \displaystyle{\left({3}-{4}{i}\right)}-{\left({1}-{4}{i}\right)} ?
https://socratic.org/questions/how-do-you-simplify-3-4i-1-4i
This is \displaystyle={2} Explanation: You must simply remove the brackets and simplify \displaystyle{\left({3}-{4}{i}\right)}-{\left({1}-{4}{i}\right)} \displaystyle={3}-{4}{i}-{1}+{4}{i} ...
How do you multiply \displaystyle{\left(-{3}{v}+{7}\right)}{\left(-{6}{v}+{5}\right)} ?
https://socratic.org/questions/how-do-you-multiply-3v-7-6v-5
\displaystyle{\left(-{3}{v}+{7}\right)}{\left(-{6}{v}+{5}\right)}={\left({18}{v}^{{2}}-{57}{v}+{35}\right.} Explanation: Multiply: \displaystyle{\left(-{3}{v}+{7}\right)}{\left(-{6}{v}+{5}\right)} ...
How do you simplify \displaystyle{\left({2}-{3}{i}\right)}{\left(-{1}+{4}{i}\right)} ?
https://socratic.org/questions/how-do-you-simplify-2-3i-1-4i
\displaystyle{\left({2}-{3}{i}\right)}{\left(-{1}+{4}{i}\right)}={10}+{11}{i} Explanation: Let's use the distributive property. \displaystyle{\left({2}-{3}{i}\right)}{\left(-{1}+{4}{i}\right)}={2}{\left(-{1}+{4}{i}\right)}-{3}{i}{\left(-{1}+{4}{i}\right)} ...
How do you evaluate \displaystyle-{3}-{4}{\left(-{4}-{\left({3}--{5}\right)}\right)} ?
https://socratic.org/questions/how-do-you-evaluate-3-4-4-3-5
Use the order of operations and start with the inside parenthesis Explanation: \displaystyle{\left({3}--{5}\right)}={3}+{5}={8} A negative times a negative equals a positive. Think about it ...
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3-4i+\left(3+4i\right)
The opposite of -3-4i is 3+4i.
3+3+\left(-4+4\right)i
Combine the real and imaginary parts in numbers 3-4i and 3+4i.
6
Add 3 to 3. Add -4 to 4.
Re(3-4i+\left(3+4i\right))
The opposite of -3-4i is 3+4i.
Re(3+3+\left(-4+4\right)i)
Combine the real and imaginary parts in numbers 3-4i and 3+4i.
Re(6)
Add 3 to 3. Add -4 to 4.
6
The real part of 6 is 6.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}
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