Evaluate
1+17i
Real Part
1
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-2\times 3-2\times \left(-7i\right)+3i-7i^{2}
Multiply complex numbers -2+i and 3-7i like you multiply binomials.
-2\times 3-2\times \left(-7i\right)+3i-7\left(-1\right)
By definition, i^{2} is -1.
-6+14i+3i+7
Do the multiplications.
-6+7+\left(14+3\right)i
Combine the real and imaginary parts.
1+17i
Do the additions.
Re(-2\times 3-2\times \left(-7i\right)+3i-7i^{2})
Multiply complex numbers -2+i and 3-7i like you multiply binomials.
Re(-2\times 3-2\times \left(-7i\right)+3i-7\left(-1\right))
By definition, i^{2} is -1.
Re(-6+14i+3i+7)
Do the multiplications in -2\times 3-2\times \left(-7i\right)+3i-7\left(-1\right).
Re(-6+7+\left(14+3\right)i)
Combine the real and imaginary parts in -6+14i+3i+7.
Re(1+17i)
Do the additions in -6+7+\left(14+3\right)i.
1
The real part of 1+17i is 1.
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