Question Text
Question 2 :
Factorise : $(a - b)^3 + (b - c)^3 + (c - a)^3$
Question 3 :
Find the value of 'a' if (x-2) is factor of $2x^3-6x^2+5x+a$.
Question 4 :
If $\displaystyle x \neq 0$ and $\displaystyle 3x + \dfrac{1}{3x} = 8$, find the value of :<br/>$\displaystyle 27x^{3} + \dfrac{1}{27x^{3}}$<br/>
Question 5 :
If $(x -2)$ is one factor of $x^2 +ax-6 = 0$ and  $ x^2 -9x + b= 0 $ then a + b = ____
Question 8 :
The value of$ \displaystyle \frac{(1.5)^{2}+(4.7)^{3}+(3.8)^{3}-3\times 1.5\times 4.7\times 3.8}{(1.5)^{2}+(4.7)^{2}+(3.8)^{2}-1.5\times 4.7-4.7\times 3.8-1.5\times 3.8} $
Question 9 :
If $x\ne -5$ , then the expression $\cfrac{3x}{x+5}\div \cfrac {6}{4x+20}$ can be simplified to
