Let us factorise the following algebraic expressions:
(a – 1)x² – x – (a – 2)

Question

Let us factorise the following algebraic expressions:x2 – qx – p2 + 5pq – 6q2

Philoid · Accepted Answer

The given expression can be rewritten as:

X² – qx – (p² – 5pq + 6q²)

⇒ x(x – q) – (p² – 2pq - 3pq + 6q²)

⇒ x² – qx – (p – 2q)(p – 3q)

⇒ x² + (p – 2q)x – (p – 3q)x – (p – 2q)(p – 3q)

⇒ (x – p + 2q)(x + p – 3q)

Let us factorise the following algebraic expressions:
x² – qx – p² + 5pq – 6q²