Evaluate
26+7i
Real Part
26
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5\times 4+5\times \left(3i\right)-2i\times 4-2\times 3i^{2}
Multiply complex numbers 5-2i and 4+3i like you multiply binomials.
5\times 4+5\times \left(3i\right)-2i\times 4-2\times 3\left(-1\right)
By definition, i^{2} is -1.
20+15i-8i+6
Do the multiplications.
20+6+\left(15-8\right)i
Combine the real and imaginary parts.
26+7i
Do the additions.
Re(5\times 4+5\times \left(3i\right)-2i\times 4-2\times 3i^{2})
Multiply complex numbers 5-2i and 4+3i like you multiply binomials.
Re(5\times 4+5\times \left(3i\right)-2i\times 4-2\times 3\left(-1\right))
By definition, i^{2} is -1.
Re(20+15i-8i+6)
Do the multiplications in 5\times 4+5\times \left(3i\right)-2i\times 4-2\times 3\left(-1\right).
Re(20+6+\left(15-8\right)i)
Combine the real and imaginary parts in 20+15i-8i+6.
Re(26+7i)
Do the additions in 20+6+\left(15-8\right)i.
26
The real part of 26+7i is 26.
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