Factorize expressions: 49 – x2 – y2 + 2xy
We have,
49 – x2 – y2 + 2xy
49 – (x2 + y2 – 2xy)
72 – (x – y)2
By using the formula (a2 – b2) = (a+b) (a-b)
[7 + (x – y)] [7 – x + y]
(x – y + 7) (y – x + 7)
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