Introduction to Factorisation of Algebraic Expressions

Factorise:

$20-15x-6x^2+8x$

Factorise:

$49a^2-100b^2$

The factors of $ax\left(b^2-5\right)+ay\left(5-b^2\right)$ are $($_____$)$ $(b^2-5)$.

The greatest common factor of $25a^3{b}^7$ and $35a^7{b}^3$ is _____$a^3{b}^3$.

Factorisation is the reverse process of _____. (Addition/ Subtraction/ Multiplication/ Division)

Divide: $p\left(4p^2-16\right)÷4p\left(p-2\right)$

Factorise:

$225p^{12}-9q^6$

Factorise:

$a^4-16x^4$

Factorise:

$x^4-y^4$

Factorise:

$a^4-81$

Factorise:

$3x^{3}y-243x{y}^3$

Factorise:

$18a^2{x}^2-32$

Factorise:

$x^3-x$

Factorise:

$81-{\left(x-7\right)}^2$

Factorise:

$x^2-0.04$

Factorise:

$\frac{36}{a^2}-\frac{25}{b^2}$

Factorise: $\frac{x^2}{9}-\frac{y^2}{4}$

Factorise:

$\frac{36}{289}{m}^2-81$

Factorise:

$x^2-\frac{1}{49}$

Factorise:

$p^2-0.49$