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

Expand.

$5 ( x - 3 )$

Multiply out.

$9 ( 3 - x )$

Factorise $5p+pt.$

Factorise $3x+12$.

Factorise $12x+15$

Factorise $5y-6py$

Factorise completely $18x-24$

Expand $x ( 2 y + x )$

Expand and simplify $( x + 3 ) ( x + 5 ).$

Expand.

$x^{2} ( x - 7 )$

Factorise.

$y^{2}+y$

Factorise $2x^{2}-x.$

Factorise completely.

$8g^{2}-4g$

Factorise

$6y+21$

Factorise fully

$10a^{2}-15ab$

Expand the brackets and simplify.

$4 ( 2 m + 3 ) - 5 ( m - 2 )$

Factorise completely.

$12b+8b^{2}$

Factorise completely.

$21a^{2}+28ab$

Expand and simplify.

$( x - 5 ) ( x - 7 )$

i) Multiply out the brackets.

$x ( 3 - 5 x )$

ii) Factorise fully.

$5x-20x^{2}$

Factorise completely.

$3x^{2}-12xy$

Expand and simplify.

$( m - 3 ) ( m + 2 )$

Factorise completely.

$6d^{2}e-9e^{2}$

Factorise completely.

$10x^{2}+24x$