\text { (i) } x^{2}+x y-x-y
\text { (ii) } y^{2}-y z-5 y+5 z
(i) 5 x y+7 y-5 y^{2}-7 x
\text { (ii) } 5 p^{2}-8 p q-10 p+16 q
(i) x^{2}+x y(1+y)+y^{3}
(i) a b\left(x^{2}+y^{2}\right)-x y\left(a^{2}+b^{2}\right)
(i i)(a x+b y)^{2}+(b x-a y)^{2}
(i) a^{3}+a b(1-2 a)-2 b^{2}
\text { (ii) } 3 x^{2} y-3 x y+12 x-12
a^{2} b+a b^{2}-a b c-b^{2} c+a x y+b x y
x-1-(x-1)^{2}+a x-a
4 x^{2}-25 y^{2}
\text { (ii) } 9 x^{2}-1
(i) (x-y)^{2}-9
\text { (ii) } 9(x+y)^{2}-x^{2}
(i) 20 x^{2}-45 y^{2}
\text { (ii) } 9 x^{2}-4(y+2 x)^{2}
(i) 2(x-2 y)^{2}-50 y^{2}
\text { (ii) } 32-2(x-4)^{2}
(i) x-2 y-x^{2}+4 y^{2}
(\text { ii }) 4 a^{2}-b^{2}+2 a+b
(i) a(a – 2) – b(b – 2)
(ii) a(a – 1) – b(b – 1)
(i) a^{4}-b^{4}+2 b^{2}-1
\text { (ii) } x^{3}-25 x
\text { (i) } 2 x^{4}-32
(i i) a^{2}(b+c)-(b+c)^{3}
(i)\left(a^{2}-b^{2}\right)\left(c^{2}-d^{2}\right)-4 a b c d
(i i) 4 x^{2}-y^{2}-3 x y+2 x-2 y
(i) a^{4}+b^{4}-7 a^{2} b^{2}
\text { (ii) } x^{4}-14 x^{2}+1
(i)\left(x^{2}-5 x+7\right)\left(x^{2}+5 x+7\right)
(\mathrm{ii})\left(\mathrm{x}^{2}-5 \mathrm{x}+7\right)\left(\mathrm{x}^{2}-5 \mathrm{x}-7\right)
(\text { iii) })\left(x^{2}+5 x-7\right)\left(x^{2}-5 x+7\right)
\text { (i) } x-1 / x=5 / 6
(\mathrm{ii})(\mathrm{x}+1 / \mathrm{x})^{2}=\left(\mathrm{x}^{2}+\left(1 / \mathrm{x}^{2}\right)+2\right)
\text { (iii) }(x+1 / x)^{3}=x^{3}+\left(1 / x^{3}\right)+3(x+(1 / x))
\text { (iv) } x^{4}-1 / x^{4}
If x + 1/x = √3, find the values of
\text { (i) } x^{3}+1 / x^{3}
\text { (ii) } x^{6}-1 / x^{6}
(i) x^{2}+6 x-7
\text { (ii) } y^{2}+7 y-18
(i) y^{2}-7 y-18
\text { (ii) } a^{2}-3 a-54
(i) 2 x^{2}-7 x+6
\text { (ii) } 6 x^{2}+13 x-5
\text { (i) } 2 x^{2}-x-6
\text { (ii) } 1-18 y-63 y^{2}
(i) x(12x + 7) – 10
(i i)(4-x)^{2}-2 x
\text { (i) } 60 x^{2}-70 x-30
\text { (ii) } x^{2}-6 x y-7 y^{2}
\text { (i) } 2 x^{2}+13 x y-24 y^{2}
\text { (ii) } 6 x^{2}-5 x y-6 y^{2}
(i) 2 a^{2} b^{2}-7 a b-30
\text { (ii) } a(2 a-b)-b^{2}
(i)(x-y)^{2}-6(x-y)+5
(2 x-y)^{2}-11(2 x-y)+28
(\mathrm{i}) 4(\mathrm{a}-1)^{2}-4(\mathrm{a}-1)-3
\text { (ii) } 1-2 a-2 b-3(a+b)^{2}
4(2 a-3)^{2}-3(2 a-3)(a-1)-7(a-1)^{2}
\left(2 x^{2}+5 x\right)\left(2 x^{2}+5 x-19\right)+84
\text { (i) } 25 a b c^{2}-15 a^{2} b^{2} c
\text { (ii) } 28 p^{2} q^{2} r-42 p q^{2} r^{2}
(i) 8 x^{3}-6 x^{2}+10 x
(ii) 14mn + 22m – 62p
\text { (i) } 18 p^{2} q^{2}-24 p q^{2}+30 p^{2} q
\text { (ii) } 27 a^{3} b^{3}-18 a^{2} b^{3}+75 a^{3} b^{2}
\text { (i) } 64 x^{3}+1
(\text { ii }) 7 a^{3}+56 b^{3}
(i) 27 x^{3} y^{3}-8
\text { (ii) } 27(x+y)^{3}+8(2 x-y)^{3}
(i) a^{3}+b^{3}+a+b
\text { (ii) } a^{3}-b^{3}-a+b
(i) x^{3}+x+2
\text { (ii) } a^{3}-a-120
\text { i) } x^{3}+6 x^{2}+12 x+16
(i i) a^{3}-3 a^{2} b+3 a b^{2}-2 b^{3}
\text { (i) } 2 a^{3}+16 b^{3}-5 a-10 b
(\mathrm{ii}) \mathrm{a}^{3}-\left(1 / \mathrm{a}^{3}\right)-2 \mathrm{a}+2 / \mathrm{a}
(\mathrm{i}) \mathrm{a}^{6}-\mathrm{b}^{6}
\text { (ii) } x^{6}-1
\text { (i) } 64 x^{6}-729 y^{6}
\text { (ii) } x^{3}-(8 / x)
\text { (i) } 250(a-b)^{3}+2
\text { (ii) } 32 a^{2} x^{3}-8 b^{2} x^{3}-4 a^{2} y^{3}+b^{2} y^{3}
(i) x^{9}+y^{9}
\text { (ii) } x^{6}-7 x^{3}-8
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