Factorise 6x2 – 5xy – 6y2
6x2 – 5xy – 6y2
= 6x2 – 9xy + 4xy – 6y2 [Now, as 6 × (-6) = -36 ⇒ – 36 = -9 × 4 and – 5 = -9 + 4]
= 3x(2x – 3y) + 2y(2x – 3y)
= (2x – 3y) (3x + 2y)
Divide as directed (x4 – 81) ÷ (x3 + 3x2 + 9x + 27)
Divide as directed (3x3 – 6x2 – 24x) ÷ (x – 4) (x + 2)
Divide as directed 15(y + 3)(y2 – 16) ÷ 5(y2 – y – 12)
Factorise x2 + 2xy – 99y2
Factorise 2x2 – x – 6