Expanding & Factorising Brackets (Cambridge (CIE) O Level Maths): Exam Questions

Factorise completely.

$3a^{2}b-a{b}^2$

Factorise completely.

i) $6y^2-15xy$

 [2]

ii) $y^2-9x^2$

 [2]

Factorise $x^2-25$.

Expand and simplify $5\left(p+3\right)-2\left(1-2p\right)$

Expand and simplify  $\left(p+9\right)\left(p-4\right)$

Factorise

$2x+6–3xy–9y$

Factorise  $24+5x-x^2$.

Expand and simplify  $\left(3x-5y\right)\left(2x+y\right).$

Factorise  $5m^2-20p^4$.

Factorise  $12a{b}^3+18a^3{b}^2$.

Factorise.

i) $2mn+m^2-6n-3m$

[2]

ii) $4y^2-81$

[1]

iii) $t^2-6t+8$

[2]

Expand and simplify.

$\left(x-3\right)\left(5x+3\right)\left(x-7\right)$

Expand and simplify.

$\left(x-2\right)\left(x+5\right)\left(2x-1\right)$

Write $\left(x+1\right){\left(x-3\right)}^2$ in the form $a{x}^3+b{x}^2+cx+d$.

Expand and simplify.

$(y+3)(y-4)(2y-1)$

Factorise completely.

i) $15p^2{q}^2-25q^3$   

[2]

ii) $4fg+6gh+10fk+15hk$   

[2]

iii) $81k^2-m^2$   

[2]

Factorise  $3x^2+11x–20$

Factorise completely.

$2t^2-98m^2$

Expand and simplify.

$(x–2)(4x+1)(x–5)$