Expanding & Factorising Brackets (Cambridge International IGCSE Mathematics): Exam Questions

Factorise completely.

$4-8x$

Factorise completely

$3x^{2}-12xy$

Expand and simplify $(x+7)(x-3).$

Factorise completely.

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

Factorise completely.

i) $6y^{2}-15xy$

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

Factorise $x^{2}-25$.

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

Expand and simplify $( p + 9 ) ( p - 4 )$

Simplify.

$\frac{3y^{2}+18y}{4y^{2}-144}$

Factorise

$2x+6--3xy--9y$

Factorise $24+5x-x^{2}$.

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

Factorise $5m^{2}-20p^{4}$.

Factorise $12ab^{3}+18a^{3}b^{2}$.

Factorise.

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

ii) $4y^{2}-81$

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

Expand and simplify.

$( x - 2 ) ( x + 5 ) ( 2 x - 1 )$

Write $( x + 1 ) ( x - 3 )^{2}$ in the form $ax^{3}+bx^{2}+cx+d$.

Expand and simplify.

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

Factorise completely.

i) $15p^{2}q^{2}-25q^{3}$

ii) $4fg+6gh+10fk+15hk$

iii) $81k^{2}-m^{2}$

Factorise $3x^{2}+11x--20$

Factorise completely.

$2t^{2}-98m^{2}$