Advertisements
Advertisements
प्रश्न
Simplify:
(3xy − 2ab)3 − (3xy + 2ab)3
Advertisements
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
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:
\[\frac{3 x^2 - x - 2}{x^2 - 7x + 12} \div \frac{3 x^2 - 7x - 6}{x^2 - 4}\]
Simplify:
\[\frac{4 x^2 - 11x + 6}{16 x^2 - 9}\]
Simplify:
`(1 - 2x + x^2)/(1 - x^3) xx (1 + x + x^2)/(1 + x)`
Factorise:
343a3 − 512b3
Factorise:
`16a^3 - 128/b^3`
Simplify:
(a + b)3 − a3 − b3
Simplify:
p3 − (p + 1)3
Simplify: (a - b)3 - (a3 - b3)
Simplify: (2x + 3y)3 - (2x - 3y)3
