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Everything Maths Grade 10

(Marvins-Underground-K-12) #1 
b) 25

c) 2400800

d) 100


  1. a) 11  13
    b) 23  3  7
    c) 29  31
    d) 32  11
    e) 3  13  41

  2. a)(a3)(a+ 3)
    b)9(b3)(b+ 3)
    c)
    (
    m^13
    ) (
    m+^13
    )


d)5(1ab^3 )(1 +ab^3 )

e)b(2a3)(2a+ 3)(4a^2 + 9)

f)(a5)(a5)

g)(4b+ 7)(4b+ 7)

h) 4 b^2 (6b^3 1)^2

i)(4 +x^2 )(2 +x)(2x)

j)7(x2)(x+y)

k)(y10)(y+ 3)

l)(1x)^2 (1 +x)

m)(1 +p)(2 + 3p)

n)x(x2)+(1+y)(1y)(1+y^2 )

o)(x1)(x^2 +x+ 1)(4bx)

p)(v7)(3m+ 19)

q)(3f+ 19)(z+ 3)

r)3(p^13 )(p^2 +p 3 +^19 )

s)(2x^2  5 y^3 )(4x^4 + 10x^2 y^3 +

25 y^6 )

t)(p)(12 + 18p+ 7p^2 )

u) (a+3b)

(^2) (a 3 b)
3
v)(2a5)(3a1)
w)(s3)(s+ 5)
x)(2v+ 3h)(8 +j^5 )
y)(2h 5 g)(9 +m^3 )
z)(7d 2 s)(9 +u^2 )



  1. a) 2 (a+ 1) (3a+ 4)
    b) 3 (g3) (2g+ 1)
    c)(5gr)(25g^2 + 5gr+r^2 )
    d)(2r+z)(4r^2 2 rz+z^2 )
    e)(7m 2 n)(2 +j)
    f)(5d 3 m)(5 +y)
    g)(g 3 )(g^2 +3g+ 9)
    h)(z+5)(z^2 5 z+ 25)
    i)3(ba)(3ab)
    j)(4x+ 5y)(y 4 x)
    k)4(4x^3 3 y^4 )(4x^3 + 3y^4 )
    l)^16
    (
    a 12 b^2
    ) (
    a+ 12b^2
    )
    m)(a3)(2 9 x)(2 + 9x)
    n)(b+ 3)(b10)
    o)(2x+ 5y)(x+y)
    p)(x 5 y)(x+ 3y)
    q)(4x^2 + 3)(x^2 + 2)
    r)2(3x^2 4)(x^2 5)
    s)(3a+b)(3ab)(x+y+ 3)
    t)2(2y+ 3)(y4)
    u) (x4)(x 2 3)(x+3)
    v)(3rs1)(9r^2 s^2 + 3rs+ 1)
    w)
    ( 1
    5 h+r


)( 1

25 h^2 

5 rh+r^2 )

x)(j+k)(4nb)(16n^2 + 4nb+

b^2 )


  1. a) 8 a+ 4
    b) 125 a^3 64 b^3
    c) 16 m^4 81
    d)a^2 + 4ab+ 4b^2 c^2
    e) 2


f) 5

g)2+ 3 b

h) x^12

i) x 37

j) 5

k) (aa+2)^52

l) a (^2) +6^1 a+36
m)2(2a+b)
n)s+ 31
o)n+ 8
p)p^2 2 pq+q^2
q)^12 6 xx^2
r) (a+7)(^14 a7)
s)^32 x
(^3) +x+2
2 x^3
t) (2a+1)(2^4 aa^1 1)(a1)
u)^5 x+20 6
v)^4 xx^3 (+11x+2)(x^2 x+7+3)x+3
w) 2(b
(^2) +9)
(b3)(b+3)
x) xx 2 (+x+1)x+6
y) (z+12)(^17 zz5)
z) (w11)(^7 ww4)
32.(3x4)(x+ 2)



  1. 5 x
    34.8,85
    35.a^2 + 2ab+ 4b^2

  2. 9 x^2 3 x+ 1

  3. a)x̸=^13 andx̸= 1
    b)a̸=banda̸= 3


2 Exponents


Exercise 2 – 1:



  1. 1




  2. 16




  3. 1111 x




  4. 108 x




  5. 216 c^3




  6. 125 n^3




  7. 361




  8. 40
    9.^278
    10.a^3




  9. x (^31) y 4
    12.x^3 t+3




  10. 32 a+3




  11. 1




  12. 2




  13. 6 a^5 b^2
    17. 56 m^10 n^9
    18. 72 a^16 b^16




  14. ^15 x^14 y^19
    20.a^2 x
    21. 5 ax




  15. 2 c^4 p^3




  16. 3 a^5 m^5




  17. 27




  18. 7 a^2




  19. 9 a^5 b^27
    27.^19




  20. ab 3530




  21. 8 t^12




  22. 32 n+6




  23. 271




  24. 85




  25. 39 x+^3




  26. 4 x+ 12 b




  27. 57 y^8  29 y^1




  28. 3221753




  29. 12
    38.^5149
    39.^4 y 325 y




Exercise 2 – 2:


  1. 3 t^2

  2. 8 x
    3.^12


4.

1

3


  1. 3 p^3

  2. 96 a^3 b^5
    7. 4 a^3 b
    8. ba^3
    9. 2 : 2


(^13)
a^4 b^2
Exercise 2 – 3:



  1. a) 0
    b)^52
    c) 7
    d)^5
    9


e) 6

f) 2

g) 4

h)^1

2

i)^45

j) 3

k) x= 2orx= 3

l)x= 3orx= 1

m)x= 0orx= 4

n) 1

o)^3

2

or 0

p) 1

q)^72

r) 3

s) 3

500 Solutions
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