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प्रश्न
Simplify:
(3xy − 2ab)3 − (3xy + 2ab)3
सोपे रूप द्या
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उत्तर
It is known that,
a3 − b3 = (a − b)(a2 + ab + b2)
(3xy − 2ab)3 − (3xy + 2ab)3
= {(3xy − 2ab) − (3xy + 2ab)} {(3xy − 2ab)2 + (3xy + 2ab)(3xy − 2ab) + (3xy + 2ab)2}
= (− 4ab) (9x2y2 + 4a2b2 − 12abxy + 9x2y2 + 4a2b2+ 12abxy + 9x2y2 − 4a2b2)
= (− 4ab)(27x2y2 + 4a2b2)
= − 108x2y2ab − 16a3b3
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या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
संबंधित प्रश्न
Simplify:
\[\frac{m^2 - n^2}{\left( m + n \right)^2} \times \frac{m^2 + mn + n^2}{m^3 - n^3}\]
Simplify:
\[\frac{a^3 - 27}{5 a^2 - 16a + 3} \div \frac{a^2 + 3a + 9}{25 a^2 - 1}\]
Factorise:
125y3 − 1
Factorise:
`16a^3 - 128/b^3`
Simplify:
(a + b)3 − a3 − b3
Simplify:
p3 − (p + 1)3
Factorise: 27p3 - 125q3.
Factorise: `a^3 - 1/(a^3)`
Simplify: (a - b)3 - (a3 - b3)
Factorise the following:
27x3 – 8y3
