Expanding & Factorising Brackets (Cambridge (CIE) IGCSE Maths: Core): Exam Questions

Factorise completely $18x-24$

Expand $x\left(2y+x\right)$

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

Expand.

$x^2\left(x-7\right)$

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.

$4\left(2m+3\right)-5\left(m-2\right)$

Factorise completely.

$12b+8b^2$

Factorise completely.

$21a^2+28ab$

Expand and simplify.

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

i) Multiply out the brackets.

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

[2]

ii) Factorise fully.

$5x-20x^2$

[2]

Factorise completely.

$3x^2-12xy$

Expand and simplify.

$\left(m-3\right)\left(m+2\right)$

Factorise completely.

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

Factorise completely.

$10x^2+24x$