Question

factorise 125+8x³-27y²+90xy​

Answer 1

Answer:

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)...

Step-by-step explanation:

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