Factorize expressions: 49 – a2 + 8ab – 16b2
We have,
49 – a2 + 8ab – 16b2
49 – (a2 – 8ab + 16b2)
49 – (a – 4b)2
By using the formula (a2 – b2) = (a + b) (a – b)
(7 + a – 4b) (7 – a + 4b)
-(a – 4b + 7) (a – 4b – 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