Q3 of 53 Page 166

Foctorise the following:

x4 – 13x2y2 + 36y4.

⇒ x4 - 13x2y2 + 36y4


⇒ x4 - 4x2 y2 - 9x2y2 + 36y4


⇒ x2(x2 – 4y2) - 9y2(x2 – 4y2)


⇒ (x2 – 4y2)(x2 – 9y2)


⇒ {x2 – (2y)2}{x2 – (3y)2}


⇒ (x – 2y)(x + 2y)(x – 3y)(x + 3y)
Since,


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