Evaluate
13+34i
Real Part
13
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4\left(-2\right)+4\times \left(7i\right)-3i\left(-2\right)-3\times 7i^{2}
Multiply complex numbers 4-3i and -2+7i like you multiply binomials.
4\left(-2\right)+4\times \left(7i\right)-3i\left(-2\right)-3\times 7\left(-1\right)
By definition, i^{2} is -1.
-8+28i+6i+21
Do the multiplications.
-8+21+\left(28+6\right)i
Combine the real and imaginary parts.
13+34i
Do the additions.
Re(4\left(-2\right)+4\times \left(7i\right)-3i\left(-2\right)-3\times 7i^{2})
Multiply complex numbers 4-3i and -2+7i like you multiply binomials.
Re(4\left(-2\right)+4\times \left(7i\right)-3i\left(-2\right)-3\times 7\left(-1\right))
By definition, i^{2} is -1.
Re(-8+28i+6i+21)
Do the multiplications in 4\left(-2\right)+4\times \left(7i\right)-3i\left(-2\right)-3\times 7\left(-1\right).
Re(-8+21+\left(28+6\right)i)
Combine the real and imaginary parts in -8+28i+6i+21.
Re(13+34i)
Do the additions in -8+21+\left(28+6\right)i.
13
The real part of 13+34i is 13.
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