Evaluate
\left(-1+2i\right)b+\left(2+i\right)
Expand
\left(-1+2i\right)b+\left(2+i\right)
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2+i+\left(2+i\right)bi
Use the distributive property to multiply 1+bi by 2+i.
2+i+\left(2i+i^{2}\right)b
Multiply 2+i times i.
2+i+\left(2i-1\right)b
By definition, i^{2} is -1.
2+i+\left(-1+2i\right)b
Reorder the terms.
2+i+\left(2+i\right)bi
Use the distributive property to multiply 1+bi by 2+i.
2+i+\left(2i+i^{2}\right)b
Multiply 2+i times i.
2+i+\left(2i-1\right)b
By definition, i^{2} is -1.
2+i+\left(-1+2i\right)b
Reorder the terms.
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