F.1 math..

1.Simplify:
(a) (p^3 - 2p^2 + p) + (4p^3 - 2p)
= p^3 - 2p^2 + p + 4p^3 - 2p
= 5p^3 - 2p^2 - p

(b) (4a - b^3 + ab) - (b^3 + a)
= 4a - b^3 + ab - b^3 - a
= 3a - 2b^3 + ab

2.Solve the following inequalities:
(a) 2(x + 1) > 4
2x + 2 > 4
2x > 2
x > 1

(b) 7x - 9 > 9x + 7
- 16 > 2x
- 8 > x
x < - 8

1. (a) (p^3-2p^2+p)+(4p^3-2p)
= p^3-2p^2+p+4p^3-2p
= 5p^3 - 2p^2 - p
= p (5p^2 -2p -1)

(b) (4a-b^3+ab)-(b^3+a)
= 4a-b^3+ab-b^3-a
= 3a - 2b^3 + ab

2. (a) 2(x+1)>4
x+1>2
x>1

(b) 7x-9>9x+7
7x>9x+16
2x+16<0
x<-8