Question

Factorise the following expressions.
1. x2 + 14x + 33
2. y2 - y - 6
4. x2 + 12x + 27
5. y2 + y - 132
Z? - 12z + 27
8
.
7. x² - 11-42
11.
10. p?+ p - 56
x2 - 8x - 65
13. x2 + 2x - 24
14.
x² – 3x - 54
16. p? - 3pq + 2q​

Answer 1

Answer:

x²+14x+33=x²+11x+3x+33=x(x+11)+3(x+11)=(x+11)(x+3)

Answer 2

Step-by-step explanation:

x2 +14x+ 33

we can write this as-

x2+11x+3x+33

taking common ( x from x2 and 11x and 3 from 3x and 33)

x(x + 11)+3(x+11)

taking (x+11)common , we get,

(x+3)(x+11)

other questions can be similarly solved with middle term splitting or algebraic identities.