factorise 125-8x³-27y³-90xy
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Solution:
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Given:
To Factorize 125 - 8x³ - 27y³ - 90xy
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=> 125 - 8x³ - 27y³ - 90xy
=> (5)³ + (-2x)³ + (-3y)³ - (3)(5)(-2x)(-3y)
we know that,
a³ + b³ + c³ - 3abc = (a + b + c) (a² + b² + c² - ab - bc - ac)
=> (5 - 2x - 3y)((5)² + (-2x)² + (-3y)² - (5)(-2x) - (-2x)(-3y) - (5)(-3y))
=>(5 - 2x - 3y)(25 + 4x²+ 9y² + 10x - 6xy +15y)...
_____________________________________________________________
Hope it Helps!!
_____________________________________________________________
Given:
To Factorize 125 - 8x³ - 27y³ - 90xy
_____________________________________________________________
=> 125 - 8x³ - 27y³ - 90xy
=> (5)³ + (-2x)³ + (-3y)³ - (3)(5)(-2x)(-3y)
we know that,
a³ + b³ + c³ - 3abc = (a + b + c) (a² + b² + c² - ab - bc - ac)
=> (5 - 2x - 3y)((5)² + (-2x)² + (-3y)² - (5)(-2x) - (-2x)(-3y) - (5)(-3y))
=>(5 - 2x - 3y)(25 + 4x²+ 9y² + 10x - 6xy +15y)...
_____________________________________________________________
Hope it Helps!!
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