Factorising expressions worksheets with answers

Cambridge IGCSE 0580

Factorise expressions fully: common factors, quadratics and the difference of two squares.

Sample sheet

Factorising expressions, Standard

Name Date

1
Factorise $x^{2} - 100$ .
[2]
Scan for help
2
Factorise $x^{2} - 5x + 6$ .
[2]
Scan for help
3
Factorise $x^{2} - 1$ .
[2]
Scan for help
4
Factorise $x^{2} - 16x + 63$ .
[2]
Scan for help
5
Factorise $x^{2} - 64$ .
[2]
Scan for help
6
Factorise $x^{2} - x - 56$ .
[2]
Scan for help

Answers

Factorising expressions, Standard

1 $(x - 10)(x + 10)$
2 $(x - 3)(x - 2)$
3 $(x - 1)(x + 1)$
4 $(x - 9)(x - 7)$
5 $(x - 8)(x + 8)$
6 $(x - 8)(x + 7)$

Method in brief

Take out the highest common factor first, then look for two brackets or a difference of two squares. Expand your answer to check it returns the original.

Learn the method

Stuck on a question?

Scan the code beside a question to get help with it.

Open the tutor

More worksheets

Factorising expressions worksheets with answers

Cambridge IGCSE 0580

Factorise expressions fully: common factors, quadratics and the difference of two squares.

Sample sheet

Factorising expressions, Standard

Name Date

1
Factorise $x^{2} - 100$ .
[2]
Scan for help
2
Factorise $x^{2} - 5x + 6$ .
[2]
Scan for help
3
Factorise $x^{2} - 1$ .
[2]
Scan for help
4
Factorise $x^{2} - 16x + 63$ .
[2]
Scan for help
5
Factorise $x^{2} - 64$ .
[2]
Scan for help
6
Factorise $x^{2} - x - 56$ .
[2]
Scan for help

Answers

Factorising expressions, Standard

1 $(x - 10)(x + 10)$
2 $(x - 3)(x - 2)$
3 $(x - 1)(x + 1)$
4 $(x - 9)(x - 7)$
5 $(x - 8)(x + 8)$
6 $(x - 8)(x + 7)$

Method in brief

Take out the highest common factor first, then look for two brackets or a difference of two squares. Expand your answer to check it returns the original.

Learn the method

Stuck on a question?

Scan the code beside a question to get help with it.

Open the tutor