Factorize algebraic expressions: x2 – 22x + 120
We have,
x2 – 22x + 120
By considering, p+q = -22 and pq = 120
So we can replace -22x by -12x -10x
120 by -12 × -10
x2 – 22x + 120 = x2 – 12x – 10x + 120
= x (x – 12) – 10 (x – 12)
= (x – 10) (x – 12)
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