Question

please help will give medal!
need help distributing f(x)=(x-3)(x-2) and
h(x)= (x-2i)(x+2i)

Answer 1

\[(a+b)(c+d) = ac+ad+bc+bd\]
Setting b=ki and d=li gives:
\[(a+mi)(c+di) = ac + a*li + ki*c + ki*li = ac - kl + (al + kc)i\]
Setting c = a and l = -k gives:
\[(a+ki)(a-ki) = a^2 + k^2 + (-ak + ka)i = a^2 + k^2\]
This is a fundamental result.