Question Text
Question 1 :
$\displaystyle \left ( x-y-z \right )^{2}-\left ( x+y+z \right )^{2}$ is equal to
Question 5 :
If $x + \displaystyle \frac{1}{x} = a+ b$ and $x - \displaystyle \frac{1}{x} = a - b$, then
Question 9 :
If $x+\dfrac { 1 }{ x } =3$, then ${ x }^{ 4 }+\dfrac { 1 }{ x^{ 4 } }$=
Question 10 :
If $x+y = 9$ and $xy = 16$ , find the value of $(x^2 + y^2)$.
Question 14 :
If $\displaystyle a^{2} + b^{2} = 34$ and $\displaystyle ab = 12$; find $\displaystyle 7 \left (a - b \right )^{2} - 2\left (a + b \right )^{2}$<br/>
Question 16 :
If $\displaystyle \left (x - \frac{1}{x} \right ) = 5$  find the value of $\displaystyle \left (x^4 + \frac{1}{x^4} \right )$.
Question 19 :
If $a\, -\displaystyle \frac{1}{a}\, =\, 8$ and $a\, \neq\, 0$; find $a^{2}\, -\, \displaystyle \frac{1}{a^{2}}$
Question 26 :
Simplify the following: <br/>$(\sqrt{3}-\sqrt{2})^{2}$ is equal to $5-2\sqrt{6}$<br/> If true then enter $1$ and if false then enter $0$<br/>
Question 27 :
The product of $(2x^2 -3x + 1)$ and (x -3) is.equal to
Question 28 :
If $a-b=3$ and $ \displaystyle a^{3}-b^{3}=117 $ then $a+b$ is equal to 
Question 30 :
$(2x + 3y)^{2} = 4x^{2} + 9y^{2} + M$, find M.<br/>
