Find the greatest common factor of the terms in each of the following expressions:
1. 5a4 + 10a3 – 15a2
2. 2xyz + 3x2y + 4y2
3. 3a2b2 + 4b2c2 + 12a2b2c2
(i) The greatest common factor of the three terms is 5a2
(ii) The greatest common factor of the three terms is y
(iii) The greatest common factor of the three terms is b2.
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 6x2 – 5xy – 6y2