Evaluate
26+42i
Real Part
26
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5\left(-2\right)+5\times \left(6i\right)-6i\left(-2\right)-6\times 6i^{2}
Multiply complex numbers 5-6i and -2+6i like you multiply binomials.
5\left(-2\right)+5\times \left(6i\right)-6i\left(-2\right)-6\times 6\left(-1\right)
By definition, i^{2} is -1.
-10+30i+12i+36
Do the multiplications.
-10+36+\left(30+12\right)i
Combine the real and imaginary parts.
26+42i
Do the additions.
Re(5\left(-2\right)+5\times \left(6i\right)-6i\left(-2\right)-6\times 6i^{2})
Multiply complex numbers 5-6i and -2+6i like you multiply binomials.
Re(5\left(-2\right)+5\times \left(6i\right)-6i\left(-2\right)-6\times 6\left(-1\right))
By definition, i^{2} is -1.
Re(-10+30i+12i+36)
Do the multiplications in 5\left(-2\right)+5\times \left(6i\right)-6i\left(-2\right)-6\times 6\left(-1\right).
Re(-10+36+\left(30+12\right)i)
Combine the real and imaginary parts in -10+30i+12i+36.
Re(26+42i)
Do the additions in -10+36+\left(30+12\right)i.
26
The real part of 26+42i is 26.
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