Evaluate
50
Real Part
50
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-\left(-1\right)-7i-7i\left(-1\right)-7\times 7i^{2}
Multiply complex numbers -1-7i and -1+7i like you multiply binomials.
-\left(-1\right)-7i-7i\left(-1\right)-7\times 7\left(-1\right)
By definition, i^{2} is -1.
1-7i+7i+49
Do the multiplications.
1+49+\left(-7+7\right)i
Combine the real and imaginary parts.
50
Do the additions.
Re(-\left(-1\right)-7i-7i\left(-1\right)-7\times 7i^{2})
Multiply complex numbers -1-7i and -1+7i like you multiply binomials.
Re(-\left(-1\right)-7i-7i\left(-1\right)-7\times 7\left(-1\right))
By definition, i^{2} is -1.
Re(1-7i+7i+49)
Do the multiplications in -\left(-1\right)-7i-7i\left(-1\right)-7\times 7\left(-1\right).
Re(1+49+\left(-7+7\right)i)
Combine the real and imaginary parts in 1-7i+7i+49.
Re(50)
Do the additions in 1+49+\left(-7+7\right)i.
50
The real part of 50 is 50.
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