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