Factorise x2 + 2xy – 99y2
x2 + 2xy – 99y2
= x2 + 11xy – 9xy – 99y2 [Now, as -99 = -11 × 9 and -2 = -11 + 9 }
= x(x + 11y) – 9y(x + 11y)
= (x + 11y) (x – 9y)
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 6x2 – 5xy – 6y2
Factorise 2x2 – x – 6