Evaluate
7-17i
Real Part
7
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-3-3\times \left(5i\right)-2i-2\times 5i^{2}
Multiply complex numbers -3-2i and 1+5i like you multiply binomials.
-3-3\times \left(5i\right)-2i-2\times 5\left(-1\right)
By definition, i^{2} is -1.
-3-15i-2i+10
Do the multiplications.
-3+10+\left(-15-2\right)i
Combine the real and imaginary parts.
7-17i
Do the additions.
Re(-3-3\times \left(5i\right)-2i-2\times 5i^{2})
Multiply complex numbers -3-2i and 1+5i like you multiply binomials.
Re(-3-3\times \left(5i\right)-2i-2\times 5\left(-1\right))
By definition, i^{2} is -1.
Re(-3-15i-2i+10)
Do the multiplications in -3-3\times \left(5i\right)-2i-2\times 5\left(-1\right).
Re(-3+10+\left(-15-2\right)i)
Combine the real and imaginary parts in -3-15i-2i+10.
Re(7-17i)
Do the additions in -3+10+\left(-15-2\right)i.
7
The real part of 7-17i is 7.
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Limits
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