Fluorite (CaF2 as an example) and rutile (TiO2 as an example) are the big two. Also existing are the CdI2 and CdCl2 structures (CCP and HCP respectively).
√(ab2) = (√a)*b
If you mean (Ab)2 then it is Ab, but if you mean Ab2 then it is square root (A)(b).
AB2
The GCF is ab2
Let consider the right triangle ABC with hypotenuse AB and heigth AC then base is BC Pythagorean theorem states that AB2=AC2+BC2 so BC2=AB2-AC2 then BC=sqrt(AB2-AC2)
ab2
linear
(a -b) · (a2+ab+b2) = (a3+a2b+ab2) - (a2b+ab2+b3) = a3 -b3 (a+b) · (a2 -ab+b2) = (a3 -a2b+ab2) +(a2b -ab2+b3) = a3+b3 More generally: (a ∓ b) · (an-1 ±an-2b +an-3b2 ±an-4b3 +±...+a(±b)n-2 +(±b)n-1) = an ± bn. The mixed terms cancel out themselves.
4
Linear
Can't tell u in general if a or b, depends on what AB2 is, e.g. CO2 is linear, H2O is tent shaped (corner at midst atom: 105o) but not trigonal as you'd call it.Anyhow c, d, E are unusual for tri-atomic.H2O is not in the form AB2. When in the form AB2 the ideal bond angle is 180 degrees or linear.See the link below.
ab(a - b)