How can I factorise the following? I am new to more complex forms of factorisation and am teaching myself at home.
1. 4p^5q^3 + 6p^2q^4
2. 3(x+6)^2 - 9(x-6)
3. 12a^4 - 3
4. 36p^3 - 25pq^2
5. 2x^2 + x -21
$\displaystyle
36p^3 - 25pq^2
$
first factor out what has exponents
so factor out p
$\displaystyle p\left(36p^2 - 25q^2\right)$
this will factor into a difference of squares
$\displaystyle
p\left(6p - 5q\right)\left(6p + 5q\right)
$
has the fog cleared