1. (X^2 + X - 6) / (X - 2).
Factor the trinomial:
(X + 3)(X - 2) / (X - 2) =
Cancel the (X - 2) factors:
X + 3.
2. 24b^4c^3 / 6b^2c = 4b^2c^2
3. (3p^2 + pq - 2q^2) / (p + 2)
Factor the trinomial using A*C Method:
A * C = 3 * -2 = -6,
3p^2 +3pq-2pq -2q^2
Group the 4 terms into factorable
3p(p + q) -2q(p + q),
Factor out (p + q):
(p + q) (3p - 2q) / (p + q),
CANCEL THE (P + q) factors:
3p - 2q.
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