Evaluate
-13-13i
Real Part
-13
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2\left(-5\right)+2i+3i\left(-5\right)+3i^{2}
Multiply complex numbers 2+3i and -5+i like you multiply binomials.
2\left(-5\right)+2i+3i\left(-5\right)+3\left(-1\right)
By definition, i^{2} is -1.
-10+2i-15i-3
Do the multiplications.
-10-3+\left(2-15\right)i
Combine the real and imaginary parts.
-13-13i
Do the additions.
Re(2\left(-5\right)+2i+3i\left(-5\right)+3i^{2})
Multiply complex numbers 2+3i and -5+i like you multiply binomials.
Re(2\left(-5\right)+2i+3i\left(-5\right)+3\left(-1\right))
By definition, i^{2} is -1.
Re(-10+2i-15i-3)
Do the multiplications in 2\left(-5\right)+2i+3i\left(-5\right)+3\left(-1\right).
Re(-10-3+\left(2-15\right)i)
Combine the real and imaginary parts in -10+2i-15i-3.
Re(-13-13i)
Do the additions in -10-3+\left(2-15\right)i.
-13
The real part of -13-13i is -13.
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