Factorize expressions: 4(xy + 1)2 – 9(x – 1)2
We have,
4(xy + 1)2 – 9(x – 1)2
[2 (xy + 1)]2 – [3 (x – 1)]2
By using the formula (a2 – b2) = (a-b) (a+b)
(2xy + 2 + 3x – 3) (2xy + 2 – 3x + 3)
(2xy + 3x – 1) (2xy – 3x + 5)
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