Math, asked by rayalaanju, 1 year ago

Without actually calculating the cubes, find the value of 45^3 - 25^3 - 20^3URGENT!!!!


kushagra191: here
kushagra191: since a plus b plus c =0 this implies that a cube + b cube + c cube is equal to three abc
kushagra191: thus the ans. is 45X25X-20
kushagra191: refer NCERT for mathematics class 9 ch-polynomials

Answers

Answered by yaqoobmirza
6
according to the question 45³ - 25³ - 20³. Without actually calculating squares and cubes we do as: a³ - b³ = (a+b)(a²+b²+ab) (45-25)(45²+25²+ 45*25) - 20³ 20 (45²+25²+45*25) - 20³.
Answered by preetpragyan
2
The value of 45^3-25^3-20^3=67500
Hope this will help you

rayalaanju: I don't want to calculate I want to do it using formula
preetpragyan: it will be in this formula: a^3-b^3
kushagra191: are
kushagra191: without calculating cubes
kushagra191: this means you do not have to calculate the.cubes
kushagra191: 3abc will work
kushagra191: betcha
kushagra191: since when a plus b plus c equals zero then a cube plus b cube plus c cube equals 3abc
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