Evaluate
43-36i
Real Part
43
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6\times 6+6i-7i\times 6-7i^{2}
Multiply complex numbers 6-7i and 6+i like you multiply binomials.
6\times 6+6i-7i\times 6-7\left(-1\right)
By definition, i^{2} is -1.
36+6i-42i+7
Do the multiplications.
36+7+\left(6-42\right)i
Combine the real and imaginary parts.
43-36i
Do the additions.
Re(6\times 6+6i-7i\times 6-7i^{2})
Multiply complex numbers 6-7i and 6+i like you multiply binomials.
Re(6\times 6+6i-7i\times 6-7\left(-1\right))
By definition, i^{2} is -1.
Re(36+6i-42i+7)
Do the multiplications in 6\times 6+6i-7i\times 6-7\left(-1\right).
Re(36+7+\left(6-42\right)i)
Combine the real and imaginary parts in 36+6i-42i+7.
Re(43-36i)
Do the additions in 36+7+\left(6-42\right)i.
43
The real part of 43-36i is 43.
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