# Worksheet: Factoring Difference of Two Squares

In this worksheet, we will practice determining when a quadratic is a difference of two squares and then using this property to factor the expression.

Q1:

Factorise fully .

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Q2:

Factorise fully .

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Q3:

Factorise fully .

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Q4:

Factorise fully .

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Q5:

Find the solution set of in .

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Q6:

Factorise fully .

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Q7:

If , what is the value of ?

Q8:

If and , what is the value of ?

Q9:

If and , what is the value of ?

Q10:

Factorise fully .

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Q11:

Factorise fully .

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Q12:

Factorise fully .

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Q13:

By factorising or otherwise, evaluate .

Q14:

If , what is the value of ?

Q15:

Factorise fully .

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Q16:

By considering the difference of two squares, evaluate without a calculator.

Q17:

If , , and , what is the value of ?

Q18:

Factorise fully .

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Q19:

If , what is the value of ?

• A4
• B1
• C25
• D5

Q20:

By considering the difference of two squares, find the value of for which .

Q21:

Factorise fully .

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Q22:

Factorise fully .

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Q23:

Factorise fully and evaluate .

Q24:

Factorise fully .

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Q25:

Factorise fully .

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