The complex number is equivalent to the given expression (2+I)(8-3i)-(23+34i) is -32i-12.
The given expression is (2+i)(8-3i)-(23+34i).
A complex number can be visually represented as a pair of numbers (a, b) forming a vector on a diagram called an Argand diagram, representing the complex plane.
Now, apply the distributive property and multiply each term of the first complex number with each term of the second complex number.
That is, (2+i)(8-3i)=8+8i-6i-3i²=8+2i+3 (∵i²=-1)
Now, 2i+11-23-34i=-32i-12
Therefore, the complex number is equivalent to the given expression (2+I)(8-3i)-(23+34i) is -32i-12.
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