Factorising Practice Questions

Factorise $8x + 20$

Factorise fully $12a^3b - 18a^2b^2$

Factorise $x^2 + 2x - 15$

Factorise $9 - t^2$

Factorise $(2p - q)^2 - 5(2p - q)$

Factorise $3m(m + 4) + 7(m + 4)$

Factorise $3x^2 + 10x + 8$

Factorise $10x^2 - 11x - 6$

Factorise $xy - 4x + 3y - 12$

Factorise $2t^3 + 10t^2 - 3t - 15$

Factorise fully $m^3 - 36m$

Factorise fully $49a^2 - 16b^2$

Show that the width of the rectangle can be written as $x + 4$.

Find an expression, in terms of $x$, for the perimeter of the rectangle.

Give your answer in its simplest form.

Factorise fully $x^4 - 16y^4$

$n^2 + kn - 36$ can be written as $(n + a)(n + b)$, where $a$, $b$ and $k$ are integers.

Find all the possible positive values of $k$.