Evaluate
29-2i
Real Part
29
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4\times 2+4\times \left(3i\right)-7i\times 2-7\times 3i^{2}
Multiply complex numbers 4-7i and 2+3i like you multiply binomials.
4\times 2+4\times \left(3i\right)-7i\times 2-7\times 3\left(-1\right)
By definition, i^{2} is -1.
8+12i-14i+21
Do the multiplications.
8+21+\left(12-14\right)i
Combine the real and imaginary parts.
29-2i
Do the additions.
Re(4\times 2+4\times \left(3i\right)-7i\times 2-7\times 3i^{2})
Multiply complex numbers 4-7i and 2+3i like you multiply binomials.
Re(4\times 2+4\times \left(3i\right)-7i\times 2-7\times 3\left(-1\right))
By definition, i^{2} is -1.
Re(8+12i-14i+21)
Do the multiplications in 4\times 2+4\times \left(3i\right)-7i\times 2-7\times 3\left(-1\right).
Re(8+21+\left(12-14\right)i)
Combine the real and imaginary parts in 8+12i-14i+21.
Re(29-2i)
Do the additions in 8+21+\left(12-14\right)i.
29
The real part of 29-2i is 29.
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