Evaluate
56+97i
Real Part
56
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-7\left(-12\right)-7\times \left(-7i\right)-4i\left(-12\right)-4\left(-7\right)i^{2}
Multiply complex numbers -7-4i and -12-7i like you multiply binomials.
-7\left(-12\right)-7\times \left(-7i\right)-4i\left(-12\right)-4\left(-7\right)\left(-1\right)
By definition, i^{2} is -1.
84+49i+48i-28
Do the multiplications.
84-28+\left(49+48\right)i
Combine the real and imaginary parts.
56+97i
Do the additions.
Re(-7\left(-12\right)-7\times \left(-7i\right)-4i\left(-12\right)-4\left(-7\right)i^{2})
Multiply complex numbers -7-4i and -12-7i like you multiply binomials.
Re(-7\left(-12\right)-7\times \left(-7i\right)-4i\left(-12\right)-4\left(-7\right)\left(-1\right))
By definition, i^{2} is -1.
Re(84+49i+48i-28)
Do the multiplications in -7\left(-12\right)-7\times \left(-7i\right)-4i\left(-12\right)-4\left(-7\right)\left(-1\right).
Re(84-28+\left(49+48\right)i)
Combine the real and imaginary parts in 84+49i+48i-28.
Re(56+97i)
Do the additions in 84-28+\left(49+48\right)i.
56
The real part of 56+97i is 56.
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