Difference of Two Squares (Leaving Cert Mathematics): Quizzes

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Difference of Two Squares
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What is the factored form of a2−b2a^2-b^2?

(a+b)(a−b)(a+b)(a-b)

Is the difference of two squares identity in the log tables?

No, it must be learnt off

Which of these is a square term?

25a2b225a^2b^2

How can 99 be expressed as a square term?

(3)(3)(3)(3)

What is y2−100y^2-100 factorised?

(y+10)(y−10)(y+10)(y-10)

What is 81x4−16y881x^4-16y^8 factorised?

(9x2+4y4)(9x2−4y4)(9x^2+4y^4)(9x^2-4y^4)

What is the first step in factorising 2x3−50x2x^3-50x?

Use HCF to get 2x(x2−25)2x(x^2-25)

What is 2x3−50x2x^3-50x fully factorised?

2x(x+5)(x−5)2x(x+5)(x-5)

What must terms be separated by to use this identity?

A minus sign (difference)

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Factorisation

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