# Worksheet: 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 and multiplying the sum of two terms by their difference to get the polynomial known as the difference of two squares.

Q1:

Factorize fully .

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Q2:

Factorize fully .

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Q3:

Factorize fully .

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Q4:

Factorize fully .

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Q5:

Find the solution set of in .

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Q6:

Factorize 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:

Factorize fully .

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Q11:

Factorize fully .

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Q12:

Factorize fully .

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Q13:

By factorizing or otherwise, evaluate .

Q14:

If , what is the value of ?

Q15:

Factorize 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:

Factorize fully .

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Q19:

If , what is the value of ?

Q20:

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

Q21:

Factorize fully .

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Q22:

Factorize fully .

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Q23:

Factorize fully and evaluate .

Q24:

Factorize fully .

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Q25:

Factorize fully .

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