Find the product using the FOIL method.
(q-2)(q-8)

q²-10q+16

Step-by-step explanation:

FOIL stands for:

First -> (q-2)(q-8)

Outer -> (q-2)(q-8)

Inner -> (q-2)(q-8)

Last -> (q-2)(x-8)

Following FOIL, we get:

(q-2)(q-8)

(q)(q)+(q)(-8)+(-2)(q)+(-2)(-8)

q²-8q-2q+16

q²-10q+16

Therefore, the expanded form is q²-10q+16

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)