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Factorise: 4x2 – 9y2

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Best answer

4x2 – 9y2 = 22 x2 – 32 y2 

= (2x)2 – (3y)2

Substituting a = 2x and b = 3y in

(a2 – b2) = (a + b) (a – b), we have

(2x)2 – (3y)2 = (2x + 3y) (2x – 3y)

∴ Factors of 4x2 – 9y2 are (2x + 3y) and (2x – 3y)

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