MAT10:4.1.2 FACTORISATION BY GROUPING

Factorise completely a(p + q) + 2b(p + q)

2ab(p + q)
(p + q)(a + 2b)

Factorise completely 3x(y – 3) – 2(y – 3)

(3x – 2)(y – 3)
-6x(y – 3)

Factorise completely 2r (s + t) – u(s + t)

(s + t)(2r – u)
-2ru (s + t)

Factorise completely 4a(2b + 3) – (2b + 3)

4a(2b + 3)
(2b + 3)(4a – 1)

Factorise completely (x – y) + 2p(x – y)

(1 + 2p)(x – y)
-2p(x – y)

Factorise completely x²(2x – 1) – 3(2x – 1)

(x² – 3(2x – 1)
-3x²(2x – 1)

Factorise completely xy – 5x + 4y – 20

(x + 4)(y + 5)
(x + 4)(y – 5)

Factorise completely 2a² – 3a + 4ap – 6p

(a + 2p)(2a – 3)
(a + 2p)(2a + 3)

Factorise completely 2ax +2x + ay + y

2xy (a + 1)
(2x + y)(a + 1)

Factorise completely 6y – 3x – 2ay + ax

(3 + a)(2y – x)
(2y – x)(3 – a)

Factorise completely 8ax -12bx -16ay + 24by

2(x – 2y)(4a – 6b)
4(x – 2y)(2a – 3b)

Factorise completely 6ap + 4bp – 2bq – 3aq

(2p – q)(2b – 3a)
(3a + 2b)(2p – q)

Factorise completely 2pq – 4p² + 6p

p(2q – 4p + 6)
2p(q – 2p + 3)

Factorise completely 2ax + 2bx – b – a

(2x – 1)(a + b)
(2x – 1)(a – b)

Factorise ax² +2axy – bxy – 2by²

(ax – by)(x + 2y)
(a – b)(x² – 2y²)