Difference of Two Squares (Leaving Cert Mathematics): Flashcards

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Difference of Two Squares
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Difference of two squares identity

a2−b2=(a+b)(a−b)a^2-b^2=(a+b)(a-b)

Is diff. of two squares in log tables?

No, must be memorized

What is a square term?

A term expressed as a product of the same term

Express 99 as a square term

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

Express x2x^2 as a square term

(x)(x)(x)(x)

Express 25a2b225a^2b^2 as a square term

(5ab)(5ab)(5ab)(5ab)

What to identify to apply diff. of two squares?

Square terms separated by a minus

First step in applying the identity

Rewrite in form a2−b2a^2-b^2 to identify aa and bb

Factorise y2−100y^2-100

(y+10)(y−10)(y+10)(y-10)

Rewrite 81x4−16y881x^4-16y^8 in form a2−b2a^2-b^2

(9x2)2−(4y4)2(9x^2)^2-(4y^4)^2

When might diff. of squares be a sub-step?

When HCF factorisation is needed first

Factorise 2x3−50x2x^3-50x completely

2x(x+5)(x−5)2x(x+5)(x-5)

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