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Algebra
1. 3p 2. (x + 4)2 Ap (x – 2)(x + 4)
A3 (x – 2)
(x + 4)
3. 7 + 9 4. 10 - ad d r t
= =
d16= rt
10t= rtar–
rt10t – ar =
5. e X 5 6. a ÷ 4y g e r
gy5e=
ea= 4
rX
4ear=
7. K = A + T 8. E = Ap – t 9. R = A2 Y
A + T = K
A = K – T
Ap – t = E
Ap = E + t
A = E + t p
A2 = R YA2 = YR
A = √YR
10. √27 11. √48 12. √3 X √8
= √9 X √3
= 3√3
= √16 X √3
= 4√3
= √24
= √4 X √6
= 2√6
2513. 64
√64= √25
8 = 5
14. 8√7 - 3√7
= 5√7
15. √50 + √18
= √25 X √2 + √9 X √2= 5√2 + 3√2
= 8√2
16. 6 √3
6 √3 √3
√3X
36√3=
2
1
= 2√3
(4x – 3)(4x – 3)= 16x2 – 12x – 12x + 9= 16x2 – 24x + 9
17. a) (4x – 3)2
b) (x + 2)(x2 – 5x + 3)
x(x2 – 5x + 3) + 2(x2 – 5x + 3)= x3 – 5x2 + 3x + 2x2 – 10x + 6 = x3 – 3x2– 7x + 6
= 3(x2 – 16)
b) 2x2 – 4x – 30
= 2(x2 – 2x – 15)= 2(x – 5)(x + 3)
18 a) 3x2 – 48
= 3(x – 4)(x + 4)