Factorize expressions: (x + 2)4 – 6(x + 2) + 9
We have,
(x + 2)4 – 6(x + 2) + 9
(x2 + 22)2 – 6x – 12 + 9
(x2 + 22 + 2(2)(x)) – 6x – 12 + 9
x2 + 4 + 4x – 6x – 12 + 9
x2 – 2x + 1
By using the formula (a – b)2 = a2 + b2 – 2ab
(x – 1)2
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