(q-2)(q-3)
Apply the distributive property.
q(q-3)-2(q-3)
Apply the distributive property.
q⋅q+q⋅-3-2(q-3)
Apply the distributive property.
q⋅q+q⋅-3-2q-2⋅-3
q⋅q+q⋅-3-2q-2⋅-3
Simplify each term.
Multiply q by q.
q2+q⋅-3-2q-2⋅-3
Move -3 to the left of q.
q2-3⋅q-2q-2⋅-3
Multiply -2 by -3.
q2-3q-2q+6
q2-3q-2q+6
Subtract 2q from -3q.
q2-5q+6
q2-5q+6
Simplify (q-2)(q-3)