Boost your complex number skills! This video covers a variety of examples of expressing complex numbers in the standard form a + bi. We'll show you step-by-step how to handle multiplication, division, and combinations of operations to simplify complex number expressions and achieve the a + bi form. Perfect for complex number practice!
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đđźđđŹđđąđšđ§: Express z = (1+2i)(-2+i) in form a+bi and find the value of a and b.
đđšđ„đźđđąđšđ§:
z = (1+2i)(-2+i)
z = 1(-2) + 1(i) + 2i(-2) + 2i(i)
z = -2 + i - 4i + 2i^2
z = -2 - 3i + 2(-1)
z = -2 - 3i - 2
z = -4 - 3i
Therefore, a = -4 and b = -3.