Factorize algebraic expressions: y2 + 5y – 36
We have,
y2 + 5y – 36
By considering, p+q = 5 and pq = -36
So we can replace 5y by 9y – 4y
-36 by 9 × -4
y2 + 5y – 36 = y2 + 9y – 4y – 36
= y (y + 9) – 4 (y + 9)
= (y – 4) (y + 9)
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