(a)[3]
Expand and simplify the expression $3x(x-2) - 2x(3x-5)$.
(b)[4]
Factorise completely. (i) $6w + 3wy - 4x - 2xy$ (ii) $4x^2 - 25y^2$
(c)[2]
Simplify completely $\left(\frac{16}{9x^4}\right)^{-\frac{3}{2}}$.
(d)[3]
$n$ is an integer. (i) Explain why $2n-1$ is odd. (ii) Write down the odd number that comes next after $2n-1$. (iii) Show that the difference between the squares of two successive odd numbers is a multiple of $8$.