Divide as directed (3x3 – 6x2 – 24x) ÷ (x – 4) (x + 2)
(3x3 – 6x2 – 24x) ÷ (x – 4) (x + 2)
3x3 – 6x2 – 24x = 3x(x2 – 2x – 8)
= 3x{x2 – 4x + 2x – 8}
= 3x{x(x – 4) + 2(x – 4)}
= 3x(x – 4) (x + 2)
Now,
= 3x
Divide as directed (x4 – 81) ÷ (x3 + 3x2 + 9x + 27)
Divide as directed 15(y + 3)(y2 – 16) ÷ 5(y2 – y – 12)
Factorise x2 + 2xy – 99y2
Factorise 6x2 – 5xy – 6y2
Factorise 2x2 – x – 6