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N-CN.2 Warmup M2-056-A07-V04

Add, subtract, and multiply complex numbers using i^2=-1 and algebraic properties.

Simplify a complex-number expression with products or powers and write the result in standard form

Problem

Evaluate \((2-3i)(1+i)-4\) by multiplying first, simplifying \(i^{2}\), and then subtracting \(4\) from the real part.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
N-CN.2
Category
Number and Quantity
Domain
The Complex Number System
Objective
Add, subtract, and multiply complex numbers using i^2=-1 and algebraic properties.
Problem type
Simplify a complex-number expression with products or powers and write the result in standard form