# Worksheet: Rewriting Expressions

Practice in this worksheet rewriting expressions by expanding, factoring, and simplifying, and become familiar with some useful identities.

**Q4: **

Factor .

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- E

**Q5: **

Determine which of the following expressions is equivalent to .

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**Q6: **

An identity is an equation that is true for all values of its variables.

For example, is an identity because it will be true for all values of and .

Expand and simplify .

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Factor .

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Is the equation an identity?

- Ano
- Byes

Substitute and into the identity to generate a Pythagorean triple.

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**Q7: **

Answer the following questions for the brackets .

Expand the brackets .

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Is the identity true?

- Ayes
- Bno

**Q8: **

Is the equation an identity?

- A Yes
- B No

**Q9: **

Factor the expression .

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**Q10: **

Factorise fully .

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**Q11: **

Factorise fully .

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**Q12: **

Factorise fully .

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**Q13: **

Expand and simplify .

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**Q14: **

Write two equivalent expressions for the area of the following figure.

- A ,
- B ,
- C ,
- D ,
- E ,

**Q15: **

Express the following using symbols: The product of 4 and 16 plus 11.

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