Chapter 5

Factorise \(144 \alpha^{2}-49 \beta^{2}\)

Simplify, if possible, (a) \((9 x)(-3 y)\) (b) \(9(4 x+5 x)\) (c) \(-2 x+11 x\) (d) \((-2 x)(11 x)\) (e) \(3 x-2 y+4 z-2 x-3 y+9 z\) (f) \((8 m)(-3 q)\) (g) \(8 m(-3 q)\) (h) \(8 m-3 q\) (i) \(8(m-3 q)\) (k) \(\frac{8 a b^{2} d}{4 a b c}\) (1) \(x-x(\mathrm{~m})(x)(-x)\) (n) \(x(-x)\) (o) \(-x(x)\)

Express as a single fraction $$ \frac{3}{x-4}-\frac{2}{(x-4)^{2}} $$

Remove the brackets from the given expression: \((x+1)(x-3) x\)

In each case, simplify the given expression, if possible. \( \quad 4 y+2 x-3 x y\)

What is the distinction between \(x(-y)\) and \(x-y ?\)

Remove the brackets from \(\left(7 x^{2}\right)^{-3} .\)

Remove the brackets from the given expression: \((x+1)(x-3)(x-1)\)

Express as a single fraction $$ 2 x-1+\frac{4}{x}+\frac{3}{2 x+1} $$

In each case, simplify the given expression, if possible. \(7 \alpha-3 \beta+2 \gamma-7 \alpha+11 \beta\)