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64x^6-y^6 factorise the following

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64x^6-y^6 factorise the following

Posted by R. Ahalya C. Ramu 5 years, 8 months ago

CBSE > Class 08 > Mathematics

1 answers

Yogita Ingle 5 years, 8 months ago

64x⁶−y⁶= (4x²)³−y⁶
Rewrite y⁶ as (y²)³
.(4x²)³−(y²)³

Since both terms are perfect cubes, factor using the difference of cubes formula, a³−b³=(a−b)(a²+ab+b²) where a=4x² and b=y²
(4x²−y²)((4x²)²+4x²y²+(y²)²)

<div>Simplify.</div>

(2x+y)(2x−y)(4x²+y²+2xy)(4x²+y²−2xy)

3Thank You

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CBSE > Class 08 > Mathematics