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