Factorize expressions: 75a3b2 – 108ab4
We have,
75a3b2 – 108ab4
3ab2 (25a2 – 36b2)
3ab2 [(5a)2 – (6b)2]
By using the formula (a2 – b2) = (a-b) (a+b)
3ab2 (5a + 6b) (5a – 6b)
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