Factorize expressions: 25 – p2 – q2 – 2pq
We have,
25 – p2 – q2 – 2pq
25 – (p2 + q2 + 2pq)
(5)2 – (p + q)2
By using the formula (a2 – b2) = (a+b) (a-b)
(5 + p + q) (5 –p – q)
-(p + q + 5) (p + q – 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