Factorize expressions: 9 (a – b)2 – 100 (x – y)2
We have,
9 (a – b)2 – 100 (x – y)2
[3 (a – b)]2 – [10 (x – y)]2
By using the formula (a2 – b2) = (a-b) (a+b)
[3 (a – b) + 10 (x + y)] [3 (a – b) – 10 (x – y)] [3a – 3b + 10x – 10y] [3a – 3b – 10x + 10y]
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