Factorize expressions: x2 – y2 – 4xz + 4z2
We have,
x2 – y2 – 4xz + 4z2
x2 – 2 (x) (2z) + (2z)2 – y2 As (a-b)2 = a2 + b2 – 2ab
(x – 2z)2 – y2
By using the formula (a2 – b2) = (a+b) (a-b) (x + y – 2z) (x – y – 2z)
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